Greatest Common Factor of 9796/52, 3632/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9796/52, 3632/234

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 9796/52,3632/234

Given fractions are 9796/52,3632/234

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 9796,3632

Greatest Common Factor of Numerators i.e. GCF of 9796,3632 is 4 .

LCM of Denominators means LCM of 52,234 as per the given fractions.

LCM of 52,234 is 468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9796,3632

GCF of Fractions 9796/52,3632/234 is 4/468

2 9796, 3632
2 4898, 1816
2449, 908

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9796,3632 By Matching Biggest Common Factor Method

Greatest Common Factor of 9796,3632 By Matching Biggest Common Factor Method

Factors of 9796

List of positive integer factors of 9796 that divides 9796 without a remainder.

1,2,4,31,62,79,124,158,316,2449,4898,9796

Factors of 3632

List of positive integer factors of 3632 that divides 3632 without a remainder.

1,2,4,8,16,227,454,908,1816,3632

Greatest Common Factor

We found the factors 9796,3632 . The biggest common factor number is the GCF number.
So the greatest common factor 9796,3632 is 4.

Lets's calculate LCM of 52,234

2 52, 234
13 26, 117
2, 9

∴ So the LCM of the given numbers is 2 x 13 x 2 x 9 = 468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/468

Therefore, the GCF of Fractions 9796/52,3632/234 is 4/468

Least Common Multiple of 52,234 with GCF Formula

Least Common Multiple of 52,234 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 52,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,234) = 26

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

GCF(52,234) x common factors =26 x 1 = 26

LCM(52,234) = ( 52 × 234 ) / 26

LCM(52,234) = 12168 / 26

LCM(52,234) = 468


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 9796/52, 3632/234

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 9796/52, 3632/234?

Answer: GCF of Numerators as per given numbers 9796/52, 3632/234 is

GCF of Numerators i.e. for 9796,3632 is 4

LCM of denominators i.e. for 52,234 is 468.

Thus, GCF of Fractions is 4/468.Finally, GCF of Fractions for 9796/52, 3632/234 is 4/468.