Greatest Common Factor of 5100/628, 9432/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5100/628, 9432/816

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 5100/628,9432/816

Given fractions are 5100/628,9432/816

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 5100,9432

Greatest Common Factor of Numerators i.e. GCF of 5100,9432 is 12 .

LCM of Denominators means LCM of 628,816 as per the given fractions.

LCM of 628,816 is 128112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5100,9432

GCF of Fractions 5100/628,9432/816 is 12/128112

2 5100, 9432
2 2550, 4716
3 1275, 2358
425, 786

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 5100,9432 By Matching Biggest Common Factor Method

Greatest Common Factor of 5100,9432 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 9432

List of positive integer factors of 9432 that divides 9432 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,131,262,393,524,786,1048,1179,1572,2358,3144,4716,9432

Greatest Common Factor

We found the factors 5100,9432 . The biggest common factor number is the GCF number.
So the greatest common factor 5100,9432 is 12.

Lets's calculate LCM of 628,816

2 628, 816
2 314, 408
157, 204

∴ So the LCM of the given numbers is 2 x 2 x 157 x 204 = 128112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/128112

Therefore, the GCF of Fractions 5100/628,9432/816 is 12/128112

Least Common Multiple of 628,816 with GCF Formula

Least Common Multiple of 628,816 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 628,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,816) = 4

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

GCF(628,816) x common factors =4 x 1 = 4

LCM(628,816) = ( 628 × 816 ) / 4

LCM(628,816) = 512448 / 4

LCM(628,816) = 128112


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 5100/628, 9432/816

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 5100/628, 9432/816?

Answer: GCF of Numerators as per given numbers 5100/628, 9432/816 is

GCF of Numerators i.e. for 5100,9432 is 12

LCM of denominators i.e. for 628,816 is 128112.

Thus, GCF of Fractions is 12/128112.Finally, GCF of Fractions for 5100/628, 9432/816 is 12/128112.