Greatest Common Factor of 7392/624, 8672/2371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7392/624, 8672/2371

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 7392/624,8672/2371

Given fractions are 7392/624,8672/2371

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 7392,8672

Greatest Common Factor of Numerators i.e. GCF of 7392,8672 is 32 .

LCM of Denominators means LCM of 624,2371 as per the given fractions.

LCM of 624,2371 is 1479504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7392,8672

GCF of Fractions 7392/624,8672/2371 is 32/1479504

2 7392, 8672
2 3696, 4336
2 1848, 2168
2 924, 1084
2 462, 542
231, 271

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 7392,8672 By Matching Biggest Common Factor Method

Greatest Common Factor of 7392,8672 By Matching Biggest Common Factor Method

Factors of 7392

List of positive integer factors of 7392 that divides 7392 without a remainder.

1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,32,33,42,44,48,56,66,77,84,88,96,112,132,154,168,176,224,231,264,308,336,352,462,528,616,672,924,1056,1232,1848,2464,3696,7392

Factors of 8672

List of positive integer factors of 8672 that divides 8672 without a remainder.

1,2,4,8,16,32,271,542,1084,2168,4336,8672

Greatest Common Factor

We found the factors 7392,8672 . The biggest common factor number is the GCF number.
So the greatest common factor 7392,8672 is 32.

Lets's calculate LCM of 624,2371

Given numbers has no common factors except 1. So, there LCM is their product i.e 1479504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/1479504

Therefore, the GCF of Fractions 7392/624,8672/2371 is 32/1479504

Least Common Multiple of 624,2371 with GCF Formula

Least Common Multiple of 624,2371 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 624,2371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,2371) = 1

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

GCF(624,2371) x common factors =1 x 1 = 1

LCM(624,2371) = ( 624 × 2371 ) / 1

LCM(624,2371) = 1479504 / 1

LCM(624,2371) = 1479504


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 7392/624, 8672/2371

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 7392/624, 8672/2371?

Answer: GCF of Numerators as per given numbers 7392/624, 8672/2371 is

GCF of Numerators i.e. for 7392,8672 is 32

LCM of denominators i.e. for 624,2371 is 1479504.

Thus, GCF of Fractions is 32/1479504.Finally, GCF of Fractions for 7392/624, 8672/2371 is 32/1479504.