Greatest Common Factor of 8635/624, 4998/7683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8635/624, 4998/7683

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 8635/624,4998/7683

Given fractions are 8635/624,4998/7683

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 8635,4998

Greatest Common Factor of Numerators i.e. GCF of 8635,4998 is 1 .

LCM of Denominators means LCM of 624,7683 as per the given fractions.

LCM of 624,7683 is 122928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8635,4998

GCF of Fractions 8635/624,4998/7683 is 1/122928

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8635,4998 By Matching Biggest Common Factor Method

Greatest Common Factor of 8635,4998 By Matching Biggest Common Factor Method

Factors of 8635

List of positive integer factors of 8635 that divides 8635 without a remainder.

1,5,11,55,157,785,1727,8635

Factors of 4998

List of positive integer factors of 4998 that divides 4998 without a remainder.

1,2,3,6,7,14,17,21,34,42,49,51,98,102,119,147,238,294,357,714,833,1666,2499,4998

Greatest Common Factor

We found the factors 8635,4998 . The biggest common factor number is the GCF number.
So the greatest common factor 8635,4998 is 1.

Lets's calculate LCM of 624,7683

3 624, 7683
13 208, 2561
16, 197

∴ So the LCM of the given numbers is 3 x 13 x 16 x 197 = 122928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122928

Therefore, the GCF of Fractions 8635/624,4998/7683 is 1/122928

Least Common Multiple of 624,7683 with GCF Formula

Least Common Multiple of 624,7683 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 624,7683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,7683) = 39

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

GCF(624,7683) x common factors =39 x 1 = 39

LCM(624,7683) = ( 624 × 7683 ) / 39

LCM(624,7683) = 4794192 / 39

LCM(624,7683) = 122928


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 8635/624, 4998/7683

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 8635/624, 4998/7683?

Answer: GCF of Numerators as per given numbers 8635/624, 4998/7683 is

GCF of Numerators i.e. for 8635,4998 is 1

LCM of denominators i.e. for 624,7683 is 122928.

Thus, GCF of Fractions is 1/122928.Finally, GCF of Fractions for 8635/624, 4998/7683 is 1/122928.