
What is the GCF of 15, 35 and 95?
Answer
447.3k+ views
Hint: In this problem we need to calculate the GCF of the given numbers. We know that GCF means Greatest Common Factor. It can be calculated by observing the factors of the given numbers. So, we will first consider each given number separately and write the prime factorization form of the number. After writing prime factors of each number list the common factor for each given number. If we get only one common factor then that is our required GCF. If we get more than one common factor then the product of the common factors is the GCF of the given numbers.
Complete step-by-step solution:
Given numbers are , and .
Considering the number . We can write the number by using its prime factors as
Considering the number . We can write the number by using its prime factors as
Considering the number . We can write the number by using its prime factors as
We can observe that the number is the only one common factor for all the given numbers which are , and .
Hence the Greatest Common Factor (GCF) of the given numbers , and is .
Note: In this problem they have only asked to calculate the GCF of the given numbers. Sometimes they may ask to calculate the Highest Common Factor (HCF) or Greatest Common Divisor (GCD). Then don't panic all the terms GCF, HCF, GCD are the same and follow the above procedure to calculate all of them.
Complete step-by-step solution:
Given numbers are
Considering the number
Considering the number
Considering the number
We can observe that the number
Hence the Greatest Common Factor (GCF) of the given numbers
Note: In this problem they have only asked to calculate the GCF of the given numbers. Sometimes they may ask to calculate the Highest Common Factor (HCF) or Greatest Common Divisor (GCD). Then don't panic all the terms GCF, HCF, GCD are the same and follow the above procedure to calculate all of them.
Latest Vedantu courses for you
Grade 10 | CBSE | SCHOOL | English
Vedantu 10 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹37,300 per year
Recently Updated Pages
Earth rotates from West to east ATrue BFalse class 6 social science CBSE

The easternmost longitude of India is A 97circ 25E class 6 social science CBSE

Write the given sentence in the passive voice Ann cant class 6 CBSE

Convert 1 foot into meters A030 meter B03048 meter-class-6-maths-CBSE

What is the LCM of 30 and 40 class 6 maths CBSE

What is history A The science that tries to understand class 6 social science CBSE

Trending doubts
How many millions make a billion class 6 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

How many seconds are there in an hour class 6 maths CBSE

What is the Full Form of NCR Delhi ?

Name the countries which are larger than India class 6 social science CBSE

Why is democracy considered as the best form of go class 6 social science CBSE
