Greatest Common Factor of 5100/32, 1456/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5100/32, 1456/522

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 5100/32,1456/522

Given fractions are 5100/32,1456/522

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 5100,1456

Greatest Common Factor of Numerators i.e. GCF of 5100,1456 is 4 .

LCM of Denominators means LCM of 32,522 as per the given fractions.

LCM of 32,522 is 8352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5100,1456

GCF of Fractions 5100/32,1456/522 is 4/8352

2 5100, 1456
2 2550, 728
1275, 364

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

Greatest Common Factor of 5100,1456 By Matching Biggest Common Factor Method

Greatest Common Factor of 5100,1456 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 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456

Greatest Common Factor

We found the factors 5100,1456 . The biggest common factor number is the GCF number.
So the greatest common factor 5100,1456 is 4.

Lets's calculate LCM of 32,522

2 32, 522
16, 261

∴ So the LCM of the given numbers is 2 x 16 x 261 = 8352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8352

Therefore, the GCF of Fractions 5100/32,1456/522 is 4/8352

Least Common Multiple of 32,522 with GCF Formula

Least Common Multiple of 32,522 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 32,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,522) = 2

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

GCF(32,522) x common factors =2 x 1 = 2

LCM(32,522) = ( 32 × 522 ) / 2

LCM(32,522) = 16704 / 2

LCM(32,522) = 8352


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 5100/32, 1456/522

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 5100/32, 1456/522?

Answer: GCF of Numerators as per given numbers 5100/32, 1456/522 is

GCF of Numerators i.e. for 5100,1456 is 4

LCM of denominators i.e. for 32,522 is 8352.

Thus, GCF of Fractions is 4/8352.Finally, GCF of Fractions for 5100/32, 1456/522 is 4/8352.