Greatest Common Factor of 878/82, 691/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 878/82, 691/474

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 878/82,691/474

Given fractions are 878/82,691/474

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 878,691

Greatest Common Factor of Numerators i.e. GCF of 878,691 is 1 .

LCM of Denominators means LCM of 82,474 as per the given fractions.

LCM of 82,474 is 19434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 878,691

GCF of Fractions 878/82,691/474 is 1/19434

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

Greatest Common Factor of 878,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,691 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 878,691 . The biggest common factor number is the GCF number.
So the greatest common factor 878,691 is 1.

Lets's calculate LCM of 82,474

2 82, 474
41, 237

∴ So the LCM of the given numbers is 2 x 41 x 237 = 19434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19434

Therefore, the GCF of Fractions 878/82,691/474 is 1/19434

Least Common Multiple of 82,474 with GCF Formula

Least Common Multiple of 82,474 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 82,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,474) = 2

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

GCF(82,474) x common factors =2 x 1 = 2

LCM(82,474) = ( 82 × 474 ) / 2

LCM(82,474) = 38868 / 2

LCM(82,474) = 19434


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 878/82, 691/474

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 878/82, 691/474?

Answer: GCF of Numerators as per given numbers 878/82, 691/474 is

GCF of Numerators i.e. for 878,691 is 1

LCM of denominators i.e. for 82,474 is 19434.

Thus, GCF of Fractions is 1/19434.Finally, GCF of Fractions for 878/82, 691/474 is 1/19434.