Greatest Common Factor of 5100/156, 3536/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5100/156, 3536/862

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 5100/156,3536/862

Given fractions are 5100/156,3536/862

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 5100,3536

Greatest Common Factor of Numerators i.e. GCF of 5100,3536 is 68 .

LCM of Denominators means LCM of 156,862 as per the given fractions.

LCM of 156,862 is 67236 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5100,3536

GCF of Fractions 5100/156,3536/862 is 68/67236

2 5100, 3536
2 2550, 1768
17 1275, 884
75, 52

∴ So the GCF of the given numbers is 2 x 2 x 17 = 68

Greatest Common Factor of 5100,3536 By Matching Biggest Common Factor Method

Greatest Common Factor of 5100,3536 By Matching Biggest Common Factor Method

Factors of 5100

List of positive integer factors of 5100 that divides 5100 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,25,30,34,50,51,60,68,75,85,100,102,150,170,204,255,300,340,425,510,850,1020,1275,1700,2550,5100

Factors of 3536

List of positive integer factors of 3536 that divides 3536 without a remainder.

1,2,4,8,13,16,17,26,34,52,68,104,136,208,221,272,442,884,1768,3536

Greatest Common Factor

We found the factors 5100,3536 . The biggest common factor number is the GCF number.
So the greatest common factor 5100,3536 is 68.

Lets's calculate LCM of 156,862

2 156, 862
78, 431

∴ So the LCM of the given numbers is 2 x 78 x 431 = 67236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/67236

Therefore, the GCF of Fractions 5100/156,3536/862 is 68/67236

Least Common Multiple of 156,862 with GCF Formula

Least Common Multiple of 156,862 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 156,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,862) = 2

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

GCF(156,862) x common factors =2 x 1 = 2

LCM(156,862) = ( 156 × 862 ) / 2

LCM(156,862) = 134472 / 2

LCM(156,862) = 67236


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 5100/156, 3536/862

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 5100/156, 3536/862?

Answer: GCF of Numerators as per given numbers 5100/156, 3536/862 is

GCF of Numerators i.e. for 5100,3536 is 68

LCM of denominators i.e. for 156,862 is 67236.

Thus, GCF of Fractions is 68/67236.Finally, GCF of Fractions for 5100/156, 3536/862 is 68/67236.