Greatest Common Factor of 4636/448, 5642/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4636/448, 5642/364

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 4636/448,5642/364

Given fractions are 4636/448,5642/364

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 4636,5642

Greatest Common Factor of Numerators i.e. GCF of 4636,5642 is 2 .

LCM of Denominators means LCM of 448,364 as per the given fractions.

LCM of 448,364 is 5824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4636,5642

GCF of Fractions 4636/448,5642/364 is 2/5824

2 4636, 5642
2318, 2821

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

Greatest Common Factor of 4636,5642 By Matching Biggest Common Factor Method

Greatest Common Factor of 4636,5642 By Matching Biggest Common Factor Method

Factors of 4636

List of positive integer factors of 4636 that divides 4636 without a remainder.

1,2,4,19,38,61,76,122,244,1159,2318,4636

Factors of 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642

Greatest Common Factor

We found the factors 4636,5642 . The biggest common factor number is the GCF number.
So the greatest common factor 4636,5642 is 2.

Lets's calculate LCM of 448,364

2 448, 364
2 224, 182
7 112, 91
16, 13

∴ So the LCM of the given numbers is 2 x 2 x 7 x 16 x 13 = 5824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5824

Therefore, the GCF of Fractions 4636/448,5642/364 is 2/5824

Least Common Multiple of 448,364 with GCF Formula

Least Common Multiple of 448,364 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 448,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,364) = 28

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

GCF(448,364) x common factors =28 x 1 = 28

LCM(448,364) = ( 448 × 364 ) / 28

LCM(448,364) = 163072 / 28

LCM(448,364) = 5824


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 4636/448, 5642/364

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 4636/448, 5642/364?

Answer: GCF of Numerators as per given numbers 4636/448, 5642/364 is

GCF of Numerators i.e. for 4636,5642 is 2

LCM of denominators i.e. for 448,364 is 5824.

Thus, GCF of Fractions is 2/5824.Finally, GCF of Fractions for 4636/448, 5642/364 is 2/5824.