Greatest Common Factor of 544/92, 918/50, 208/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 544/92, 918/50, 208/107

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 544/92,918/50,208/107

Given fractions are 544/92,918/50,208/107

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 544,918,208

Greatest Common Factor of Numerators i.e. GCF of 544,918,208 is 2 .

LCM of Denominators means LCM of 92,50,107 as per the given fractions.

LCM of 92,50,107 is 246100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 544,918,208

GCF of Fractions 544/92,918/50,208/107 is 2/246100

2 544, 918, 208
272, 459, 104

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

Greatest Common Factor of 544,918,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,918,208 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 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 544,918,208 . The biggest common factor number is the GCF number.
So the greatest common factor 544,918,208 is 2.

Lets's calculate LCM of 92,50,107

2 92, 50, 107
46, 25, 107

∴ So the LCM of the given numbers is 2 x 46 x 25 x 107 = 246100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/246100

Therefore, the GCF of Fractions 544/92,918/50,208/107 is 2/246100

Least Common Multiple of 92,50,107 with GCF Formula

Least Common Multiple of 92,50,107 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 92,50,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,50,107) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(92,50,107) x common factors =1 x 2 = 2

LCM(92,50,107) = ( 92 × 50 × 107 ) / 2

LCM(92,50,107) = 492200 / 2

LCM(92,50,107) = 246100


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 544/92, 918/50, 208/107

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 544/92, 918/50, 208/107?

Answer: GCF of Numerators as per given numbers 544/92, 918/50, 208/107 is

GCF of Numerators i.e. for 544,918,208 is 2

LCM of denominators i.e. for 92,50,107 is 246100.

Thus, GCF of Fractions is 2/246100.Finally, GCF of Fractions for 544/92, 918/50, 208/107 is 2/246100.