Greatest Common Factor of 544/58, 528/2238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 544/58, 528/2238

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 544/58,528/2238

Given fractions are 544/58,528/2238

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 544,528

Greatest Common Factor of Numerators i.e. GCF of 544,528 is 16 .

LCM of Denominators means LCM of 58,2238 as per the given fractions.

LCM of 58,2238 is 64902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 544,528

GCF of Fractions 544/58,528/2238 is 16/64902

2 544, 528
2 272, 264
2 136, 132
2 68, 66
34, 33

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 544,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,528 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 544,528 . The biggest common factor number is the GCF number.
So the greatest common factor 544,528 is 16.

Lets's calculate LCM of 58,2238

2 58, 2238
29, 1119

∴ So the LCM of the given numbers is 2 x 29 x 1119 = 64902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/64902

Therefore, the GCF of Fractions 544/58,528/2238 is 16/64902

Least Common Multiple of 58,2238 with GCF Formula

Least Common Multiple of 58,2238 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 58,2238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,2238) = 2

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

GCF(58,2238) x common factors =2 x 1 = 2

LCM(58,2238) = ( 58 × 2238 ) / 2

LCM(58,2238) = 129804 / 2

LCM(58,2238) = 64902


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 544/58, 528/2238

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 544/58, 528/2238?

Answer: GCF of Numerators as per given numbers 544/58, 528/2238 is

GCF of Numerators i.e. for 544,528 is 16

LCM of denominators i.e. for 58,2238 is 64902.

Thus, GCF of Fractions is 16/64902.Finally, GCF of Fractions for 544/58, 528/2238 is 16/64902.