Answer

Verified

419.1k+ views

**Hint:**Before attempting this question, one should have prior knowledge about the concept of HCF which is the number with the greatest values which divides every one or two numbers is named as HCF, use this information to approach the solution.

**Complete step-by-step solution:**We know that HCF stands for Highest common factor which is defined as the number with the greatest values which divides every one or two numbers is named HCF there is a similar term LCM which is the smallest number which is among the multiples of the group of numbers.

Since we have to find the highest common factor between two numbers which are 18 and 60.

In order to find this, we will find the factors of both the numbers by writing the numbers as a product of prime numbers.

Since, $18 = 2 \times 3 \times 3$ and $60 = 2 \times 2 \times 3 \times 5$

Factors of number 18 are 2, 3, 3 and that of number 60 are 2, 2, 3, 5.

For the highest common factor, we will multiply the common factors which are there between numbers 18 and 60

The common factors which are there between numbers 18 and 60 are 2 and 3 only

Therefore, HCF of numbers 18 and 60 = $2 \times 3 = 6$

**Note:**In these types of problems, we proceed by reducing the given numbers into the multiplication of its prime factors and then picking up only those prime factors which are common to the given numbers and then multiplying those prime factors in order to obtain the HCF of the given numbers.

Recently Updated Pages

What number is 20 of 400 class 8 maths CBSE

Which one of the following numbers is completely divisible class 8 maths CBSE

What number is 78 of 50 A 32 B 35 C 36 D 39 E 41 class 8 maths CBSE

How many integers are there between 10 and 2 and how class 8 maths CBSE

The 3 is what percent of 12 class 8 maths CBSE

Find the circumference of the circle having radius class 8 maths CBSE

Trending doubts

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Which are the Top 10 Largest Countries of the World?

In 1946 the Interim Government was formed under a Sardar class 11 sst CBSE

10 examples of law on inertia in our daily life

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE