Greatest Common Factor of 1004/912, 8512/6532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1004/912, 8512/6532

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 1004/912,8512/6532

Given fractions are 1004/912,8512/6532

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 1004,8512

Greatest Common Factor of Numerators i.e. GCF of 1004,8512 is 4 .

LCM of Denominators means LCM of 912,6532 as per the given fractions.

LCM of 912,6532 is 1489296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1004,8512

GCF of Fractions 1004/912,8512/6532 is 4/1489296

2 1004, 8512
2 502, 4256
251, 2128

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

Greatest Common Factor of 1004,8512 By Matching Biggest Common Factor Method

Greatest Common Factor of 1004,8512 By Matching Biggest Common Factor Method

Factors of 1004

List of positive integer factors of 1004 that divides 1004 without a remainder.

1,2,4,251,502,1004

Factors of 8512

List of positive integer factors of 8512 that divides 8512 without a remainder.

1,2,4,7,8,14,16,19,28,32,38,56,64,76,112,133,152,224,266,304,448,532,608,1064,1216,2128,4256,8512

Greatest Common Factor

We found the factors 1004,8512 . The biggest common factor number is the GCF number.
So the greatest common factor 1004,8512 is 4.

Lets's calculate LCM of 912,6532

2 912, 6532
2 456, 3266
228, 1633

∴ So the LCM of the given numbers is 2 x 2 x 228 x 1633 = 1489296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1489296

Therefore, the GCF of Fractions 1004/912,8512/6532 is 4/1489296

Least Common Multiple of 912,6532 with GCF Formula

Least Common Multiple of 912,6532 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 912,6532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,6532) = 4

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

GCF(912,6532) x common factors =4 x 1 = 4

LCM(912,6532) = ( 912 × 6532 ) / 4

LCM(912,6532) = 5957184 / 4

LCM(912,6532) = 1489296


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 1004/912, 8512/6532

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 1004/912, 8512/6532?

Answer: GCF of Numerators as per given numbers 1004/912, 8512/6532 is

GCF of Numerators i.e. for 1004,8512 is 4

LCM of denominators i.e. for 912,6532 is 1489296.

Thus, GCF of Fractions is 4/1489296.Finally, GCF of Fractions for 1004/912, 8512/6532 is 4/1489296.