Greatest Common Factor of 7236/96, 5012/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7236/96, 5012/682

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 7236/96,5012/682

Given fractions are 7236/96,5012/682

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 7236,5012

Greatest Common Factor of Numerators i.e. GCF of 7236,5012 is 4 .

LCM of Denominators means LCM of 96,682 as per the given fractions.

LCM of 96,682 is 32736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7236,5012

GCF of Fractions 7236/96,5012/682 is 4/32736

2 7236, 5012
2 3618, 2506
1809, 1253

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

Greatest Common Factor of 7236,5012 By Matching Biggest Common Factor Method

Greatest Common Factor of 7236,5012 By Matching Biggest Common Factor Method

Factors of 7236

List of positive integer factors of 7236 that divides 7236 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,67,108,134,201,268,402,603,804,1206,1809,2412,3618,7236

Factors of 5012

List of positive integer factors of 5012 that divides 5012 without a remainder.

1,2,4,7,14,28,179,358,716,1253,2506,5012

Greatest Common Factor

We found the factors 7236,5012 . The biggest common factor number is the GCF number.
So the greatest common factor 7236,5012 is 4.

Lets's calculate LCM of 96,682

2 96, 682
48, 341

∴ So the LCM of the given numbers is 2 x 48 x 341 = 32736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/32736

Therefore, the GCF of Fractions 7236/96,5012/682 is 4/32736

Least Common Multiple of 96,682 with GCF Formula

Least Common Multiple of 96,682 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 96,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,682) = 2

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

GCF(96,682) x common factors =2 x 1 = 2

LCM(96,682) = ( 96 × 682 ) / 2

LCM(96,682) = 65472 / 2

LCM(96,682) = 32736


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 7236/96, 5012/682

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 7236/96, 5012/682?

Answer: GCF of Numerators as per given numbers 7236/96, 5012/682 is

GCF of Numerators i.e. for 7236,5012 is 4

LCM of denominators i.e. for 96,682 is 32736.

Thus, GCF of Fractions is 4/32736.Finally, GCF of Fractions for 7236/96, 5012/682 is 4/32736.