Greatest Common Factor of 376/48, 6424/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 376/48, 6424/643

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 376/48,6424/643

Given fractions are 376/48,6424/643

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 376,6424

Greatest Common Factor of Numerators i.e. GCF of 376,6424 is 8 .

LCM of Denominators means LCM of 48,643 as per the given fractions.

LCM of 48,643 is 30864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 376,6424

GCF of Fractions 376/48,6424/643 is 8/30864

2 376, 6424
2 188, 3212
2 94, 1606
47, 803

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 376,6424 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,6424 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 6424

List of positive integer factors of 6424 that divides 6424 without a remainder.

1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424

Greatest Common Factor

We found the factors 376,6424 . The biggest common factor number is the GCF number.
So the greatest common factor 376,6424 is 8.

Lets's calculate LCM of 48,643

Given numbers has no common factors except 1. So, there LCM is their product i.e 30864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/30864

Therefore, the GCF of Fractions 376/48,6424/643 is 8/30864

Least Common Multiple of 48,643 with GCF Formula

Least Common Multiple of 48,643 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 48,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,643) = 1

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

GCF(48,643) x common factors =1 x 1 = 1

LCM(48,643) = ( 48 × 643 ) / 1

LCM(48,643) = 30864 / 1

LCM(48,643) = 30864


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 376/48, 6424/643

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 376/48, 6424/643?

Answer: GCF of Numerators as per given numbers 376/48, 6424/643 is

GCF of Numerators i.e. for 376,6424 is 8

LCM of denominators i.e. for 48,643 is 30864.

Thus, GCF of Fractions is 8/30864.Finally, GCF of Fractions for 376/48, 6424/643 is 8/30864.