Greatest Common Factor of 2672/856, 3530/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2672/856, 3530/936

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 2672/856,3530/936

Given fractions are 2672/856,3530/936

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 2672,3530

Greatest Common Factor of Numerators i.e. GCF of 2672,3530 is 2 .

LCM of Denominators means LCM of 856,936 as per the given fractions.

LCM of 856,936 is 100152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2672,3530

GCF of Fractions 2672/856,3530/936 is 2/100152

2 2672, 3530
1336, 1765

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

Greatest Common Factor of 2672,3530 By Matching Biggest Common Factor Method

Greatest Common Factor of 2672,3530 By Matching Biggest Common Factor Method

Factors of 2672

List of positive integer factors of 2672 that divides 2672 without a remainder.

1,2,4,8,16,167,334,668,1336,2672

Factors of 3530

List of positive integer factors of 3530 that divides 3530 without a remainder.

1,2,5,10,353,706,1765,3530

Greatest Common Factor

We found the factors 2672,3530 . The biggest common factor number is the GCF number.
So the greatest common factor 2672,3530 is 2.

Lets's calculate LCM of 856,936

2 856, 936
2 428, 468
2 214, 234
107, 117

∴ So the LCM of the given numbers is 2 x 2 x 2 x 107 x 117 = 100152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/100152

Therefore, the GCF of Fractions 2672/856,3530/936 is 2/100152

Least Common Multiple of 856,936 with GCF Formula

Least Common Multiple of 856,936 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 856,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,936) = 8

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

GCF(856,936) x common factors =8 x 1 = 8

LCM(856,936) = ( 856 × 936 ) / 8

LCM(856,936) = 801216 / 8

LCM(856,936) = 100152


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 2672/856, 3530/936

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 2672/856, 3530/936?

Answer: GCF of Numerators as per given numbers 2672/856, 3530/936 is

GCF of Numerators i.e. for 2672,3530 is 2

LCM of denominators i.e. for 856,936 is 100152.

Thus, GCF of Fractions is 2/100152.Finally, GCF of Fractions for 2672/856, 3530/936 is 2/100152.