Greatest Common Factor of 257/37, 672/79, 436/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 257/37, 672/79, 436/98

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 257/37,672/79,436/98

Given fractions are 257/37,672/79,436/98

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 257,672,436

Greatest Common Factor of Numerators i.e. GCF of 257,672,436 is 1 .

LCM of Denominators means LCM of 37,79,98 as per the given fractions.

LCM of 37,79,98 is 286454 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 257,672,436

GCF of Fractions 257/37,672/79,436/98 is 1/286454

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 257,672,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,672,436 By Matching Biggest Common Factor Method

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 257,672,436 . The biggest common factor number is the GCF number.
So the greatest common factor 257,672,436 is 1.

Lets's calculate LCM of 37,79,98

Given numbers has no common factors except 1. So, there LCM is their product i.e 286454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286454

Therefore, the GCF of Fractions 257/37,672/79,436/98 is 1/286454

Least Common Multiple of 37,79,98 with GCF Formula

Least Common Multiple of 37,79,98 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 37,79,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,79,98) = 1

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

GCF(37,79,98) x common factors =1 x 1 = 1

LCM(37,79,98) = ( 37 × 79 × 98 ) / 1

LCM(37,79,98) = 286454 / 1

LCM(37,79,98) = 286454


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 257/37, 672/79, 436/98

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 257/37, 672/79, 436/98?

Answer: GCF of Numerators as per given numbers 257/37, 672/79, 436/98 is

GCF of Numerators i.e. for 257,672,436 is 1

LCM of denominators i.e. for 37,79,98 is 286454.

Thus, GCF of Fractions is 1/286454.Finally, GCF of Fractions for 257/37, 672/79, 436/98 is 1/286454.