Greatest Common Factor of 761/92, 574/98, 364/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 761/92, 574/98, 364/359

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 761/92,574/98,364/359

Given fractions are 761/92,574/98,364/359

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 761,574,364

Greatest Common Factor of Numerators i.e. GCF of 761,574,364 is 1 .

LCM of Denominators means LCM of 92,98,359 as per the given fractions.

LCM of 92,98,359 is 1618372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 761,574,364

GCF of Fractions 761/92,574/98,364/359 is 1/1618372

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

Greatest Common Factor of 761,574,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 761,574,364 By Matching Biggest Common Factor Method

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 761,574,364 . The biggest common factor number is the GCF number.
So the greatest common factor 761,574,364 is 1.

Lets's calculate LCM of 92,98,359

2 92, 98, 359
46, 49, 359

∴ So the LCM of the given numbers is 2 x 46 x 49 x 359 = 1618372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1618372

Therefore, the GCF of Fractions 761/92,574/98,364/359 is 1/1618372

Least Common Multiple of 92,98,359 with GCF Formula

Least Common Multiple of 92,98,359 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 92,98,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,98,359) = 1

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

GCF(92,98,359) x common factors =1 x 2 = 2

LCM(92,98,359) = ( 92 × 98 × 359 ) / 2

LCM(92,98,359) = 3236744 / 2

LCM(92,98,359) = 1618372


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 761/92, 574/98, 364/359

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 761/92, 574/98, 364/359?

Answer: GCF of Numerators as per given numbers 761/92, 574/98, 364/359 is

GCF of Numerators i.e. for 761,574,364 is 1

LCM of denominators i.e. for 92,98,359 is 1618372.

Thus, GCF of Fractions is 1/1618372.Finally, GCF of Fractions for 761/92, 574/98, 364/359 is 1/1618372.