Greatest Common Factor of 102/624, 798/860, 336/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 102/624, 798/860, 336/484

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 102/624,798/860,336/484

Given fractions are 102/624,798/860,336/484

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 102,798,336

Greatest Common Factor of Numerators i.e. GCF of 102,798,336 is 6 .

LCM of Denominators means LCM of 624,860,484 as per the given fractions.

LCM of 624,860,484 is 16233360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 102,798,336

GCF of Fractions 102/624,798/860,336/484 is 6/16233360

2 102, 798, 336
3 51, 399, 168
17, 133, 56

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 102,798,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,798,336 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 102,798,336 . The biggest common factor number is the GCF number.
So the greatest common factor 102,798,336 is 6.

Lets's calculate LCM of 624,860,484

2 624, 860, 484
2 312, 430, 242
156, 215, 121

∴ So the LCM of the given numbers is 2 x 2 x 156 x 215 x 121 = 16233360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/16233360

Therefore, the GCF of Fractions 102/624,798/860,336/484 is 6/16233360

Least Common Multiple of 624,860,484 with GCF Formula

Least Common Multiple of 624,860,484 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 624,860,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,860,484) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(624,860,484) x common factors =4 x 4 = 16

LCM(624,860,484) = ( 624 × 860 × 484 ) / 16

LCM(624,860,484) = 259733760 / 16

LCM(624,860,484) = 16233360


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 102/624, 798/860, 336/484

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 102/624, 798/860, 336/484?

Answer: GCF of Numerators as per given numbers 102/624, 798/860, 336/484 is

GCF of Numerators i.e. for 102,798,336 is 6

LCM of denominators i.e. for 624,860,484 is 16233360.

Thus, GCF of Fractions is 6/16233360.Finally, GCF of Fractions for 102/624, 798/860, 336/484 is 6/16233360.