Greatest Common Factor of 87/402, 754/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/402, 754/213

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 87/402,754/213

Given fractions are 87/402,754/213

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 87,754

Greatest Common Factor of Numerators i.e. GCF of 87,754 is 29 .

LCM of Denominators means LCM of 402,213 as per the given fractions.

LCM of 402,213 is 28542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,754

GCF of Fractions 87/402,754/213 is 29/28542

29 87, 754
3, 26

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 87,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,754 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 87,754 . The biggest common factor number is the GCF number.
So the greatest common factor 87,754 is 29.

Lets's calculate LCM of 402,213

3 402, 213
134, 71

∴ So the LCM of the given numbers is 3 x 134 x 71 = 28542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/28542

Therefore, the GCF of Fractions 87/402,754/213 is 29/28542

Least Common Multiple of 402,213 with GCF Formula

Least Common Multiple of 402,213 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 402,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,213) = 3

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

GCF(402,213) x common factors =3 x 1 = 3

LCM(402,213) = ( 402 × 213 ) / 3

LCM(402,213) = 85626 / 3

LCM(402,213) = 28542


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 87/402, 754/213

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 87/402, 754/213?

Answer: GCF of Numerators as per given numbers 87/402, 754/213 is

GCF of Numerators i.e. for 87,754 is 29

LCM of denominators i.e. for 402,213 is 28542.

Thus, GCF of Fractions is 29/28542.Finally, GCF of Fractions for 87/402, 754/213 is 29/28542.