Greatest Common Factor of 28/98, 74/94, 643/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/98, 74/94, 643/664

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 28/98,74/94,643/664

Given fractions are 28/98,74/94,643/664

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 28,74,643

Greatest Common Factor of Numerators i.e. GCF of 28,74,643 is 1 .

LCM of Denominators means LCM of 98,94,664 as per the given fractions.

LCM of 98,94,664 is 1529192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,74,643

GCF of Fractions 28/98,74/94,643/664 is 1/1529192

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

Greatest Common Factor of 28,74,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,74,643 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 28,74,643 . The biggest common factor number is the GCF number.
So the greatest common factor 28,74,643 is 1.

Lets's calculate LCM of 98,94,664

2 98, 94, 664
49, 47, 332

∴ So the LCM of the given numbers is 2 x 49 x 47 x 332 = 1529192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1529192

Therefore, the GCF of Fractions 28/98,74/94,643/664 is 1/1529192

Least Common Multiple of 98,94,664 with GCF Formula

Least Common Multiple of 98,94,664 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 98,94,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,94,664) = 2

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

GCF(98,94,664) x common factors =2 x 2 = 4

LCM(98,94,664) = ( 98 × 94 × 664 ) / 4

LCM(98,94,664) = 6116768 / 4

LCM(98,94,664) = 1529192


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 28/98, 74/94, 643/664

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 28/98, 74/94, 643/664?

Answer: GCF of Numerators as per given numbers 28/98, 74/94, 643/664 is

GCF of Numerators i.e. for 28,74,643 is 1

LCM of denominators i.e. for 98,94,664 is 1529192.

Thus, GCF of Fractions is 1/1529192.Finally, GCF of Fractions for 28/98, 74/94, 643/664 is 1/1529192.