Greatest Common Factor of 2153/870, 7053/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2153/870, 7053/792

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2153/870,7053/792

Given fractions are 2153/870,7053/792

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2153,7053

Greatest Common Factor of Numerators i.e. GCF of 2153,7053 is 1 .

LCM of Denominators means LCM of 870,792 as per the given fractions.

LCM of 870,792 is 114840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2153,7053

GCF of Fractions 2153/870,7053/792 is 1/114840

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2153,7053 By Matching Biggest Common Factor Method

Greatest Common Factor of 2153,7053 By Matching Biggest Common Factor Method

Factors of 2153

List of positive integer factors of 2153 that divides 2153 without a remainder.

1,2153

Factors of 7053

List of positive integer factors of 7053 that divides 7053 without a remainder.

1,3,2351,7053

Greatest Common Factor

We found the factors 2153,7053 . The biggest common factor number is the GCF number.
So the greatest common factor 2153,7053 is 1.

Lets's calculate LCM of 870,792

2 870, 792
3 435, 396
145, 132

∴ So the LCM of the given numbers is 2 x 3 x 145 x 132 = 114840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114840

Therefore, the GCF of Fractions 2153/870,7053/792 is 1/114840

Least Common Multiple of 870,792 with GCF Formula

Least Common Multiple of 870,792 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 870,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,792) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(870,792) x common factors =6 x 1 = 6

LCM(870,792) = ( 870 × 792 ) / 6

LCM(870,792) = 689040 / 6

LCM(870,792) = 114840


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2153/870, 7053/792

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 2153/870, 7053/792?

Answer: GCF of Numerators as per given numbers 2153/870, 7053/792 is

GCF of Numerators i.e. for 2153,7053 is 1

LCM of denominators i.e. for 870,792 is 114840.

Thus, GCF of Fractions is 1/114840.Finally, GCF of Fractions for 2153/870, 7053/792 is 1/114840.