Greatest Common Factor of 8779/62, 5692/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8779/62, 5692/236

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 8779/62,5692/236

Given fractions are 8779/62,5692/236

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 8779,5692

Greatest Common Factor of Numerators i.e. GCF of 8779,5692 is 1 .

LCM of Denominators means LCM of 62,236 as per the given fractions.

LCM of 62,236 is 7316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8779,5692

GCF of Fractions 8779/62,5692/236 is 1/7316

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

Greatest Common Factor of 8779,5692 By Matching Biggest Common Factor Method

Greatest Common Factor of 8779,5692 By Matching Biggest Common Factor Method

Factors of 8779

List of positive integer factors of 8779 that divides 8779 without a remainder.

1,8779

Factors of 5692

List of positive integer factors of 5692 that divides 5692 without a remainder.

1,2,4,1423,2846,5692

Greatest Common Factor

We found the factors 8779,5692 . The biggest common factor number is the GCF number.
So the greatest common factor 8779,5692 is 1.

Lets's calculate LCM of 62,236

2 62, 236
31, 118

∴ So the LCM of the given numbers is 2 x 31 x 118 = 7316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7316

Therefore, the GCF of Fractions 8779/62,5692/236 is 1/7316

Least Common Multiple of 62,236 with GCF Formula

Least Common Multiple of 62,236 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 62,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,236) = 2

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

GCF(62,236) x common factors =2 x 1 = 2

LCM(62,236) = ( 62 × 236 ) / 2

LCM(62,236) = 14632 / 2

LCM(62,236) = 7316


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 8779/62, 5692/236

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 8779/62, 5692/236?

Answer: GCF of Numerators as per given numbers 8779/62, 5692/236 is

GCF of Numerators i.e. for 8779,5692 is 1

LCM of denominators i.e. for 62,236 is 7316.

Thus, GCF of Fractions is 1/7316.Finally, GCF of Fractions for 8779/62, 5692/236 is 1/7316.