Find the common factors of $56$ and $120$.
Last updated date: 31st Mar 2023
•
Total views: 312.9k
•
Views today: 5.89k
Answer
312.9k+ views
Hint: Try to find individual factors.
A factor of a number is another number that divides it without leaving a remainder.
Given the two numbers $56$ and $120$.
First, we need to find the factors of each number individually.
Factors of $56$ are: ${S_1} = \left\{ {1,2,4,7,8,14,28,56} \right\}$
Factors of $120$are: ${S_2} = \left\{ {1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120} \right\}$
The common numbers in set ${S_1}$ and ${S_2}$are,
${S_1} \cap {S_2} = \left\{ {1,2,4,8} \right\}$
Hence the common factors of $56$ and $120$are $\left\{ {1,2,4,8} \right\}$ .
Note: The highest common factor is always less than equal to the lowest number involved.
Prime numbers have only one common factor that is $1$ .
A factor of a number is another number that divides it without leaving a remainder.
Given the two numbers $56$ and $120$.
First, we need to find the factors of each number individually.
Factors of $56$ are: ${S_1} = \left\{ {1,2,4,7,8,14,28,56} \right\}$
Factors of $120$are: ${S_2} = \left\{ {1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120} \right\}$
The common numbers in set ${S_1}$ and ${S_2}$are,
${S_1} \cap {S_2} = \left\{ {1,2,4,8} \right\}$
Hence the common factors of $56$ and $120$are $\left\{ {1,2,4,8} \right\}$ .
Note: The highest common factor is always less than equal to the lowest number involved.
Prime numbers have only one common factor that is $1$ .
Recently Updated Pages
If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts
Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write the 6 fundamental rights of India and explain in detail

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

List out three methods of soil conservation

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE
