Greatest Common Factor of 28/52, 74/11, 893/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/52, 74/11, 893/119

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 28/52,74/11,893/119

Given fractions are 28/52,74/11,893/119

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 28,74,893

Greatest Common Factor of Numerators i.e. GCF of 28,74,893 is 1 .

LCM of Denominators means LCM of 52,11,119 as per the given fractions.

LCM of 52,11,119 is 68068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,74,893

GCF of Fractions 28/52,74/11,893/119 is 1/68068

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

Greatest Common Factor of 28,74,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,74,893 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 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 28,74,893 . The biggest common factor number is the GCF number.
So the greatest common factor 28,74,893 is 1.

Lets's calculate LCM of 52,11,119

Given numbers has no common factors except 1. So, there LCM is their product i.e 68068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68068

Therefore, the GCF of Fractions 28/52,74/11,893/119 is 1/68068

Least Common Multiple of 52,11,119 with GCF Formula

Least Common Multiple of 52,11,119 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 52,11,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,11,119) = 1

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

GCF(52,11,119) x common factors =1 x 1 = 1

LCM(52,11,119) = ( 52 × 11 × 119 ) / 1

LCM(52,11,119) = 68068 / 1

LCM(52,11,119) = 68068


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 28/52, 74/11, 893/119

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 28/52, 74/11, 893/119?

Answer: GCF of Numerators as per given numbers 28/52, 74/11, 893/119 is

GCF of Numerators i.e. for 28,74,893 is 1

LCM of denominators i.e. for 52,11,119 is 68068.

Thus, GCF of Fractions is 1/68068.Finally, GCF of Fractions for 28/52, 74/11, 893/119 is 1/68068.