Greatest Common Factor of 65/30, 476/28, 278/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/30, 476/28, 278/724

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 65/30,476/28,278/724

Given fractions are 65/30,476/28,278/724

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 65,476,278

Greatest Common Factor of Numerators i.e. GCF of 65,476,278 is 1 .

LCM of Denominators means LCM of 30,28,724 as per the given fractions.

LCM of 30,28,724 is 76020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,476,278

GCF of Fractions 65/30,476/28,278/724 is 1/76020

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

Greatest Common Factor of 65,476,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,476,278 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 65,476,278 . The biggest common factor number is the GCF number.
So the greatest common factor 65,476,278 is 1.

Lets's calculate LCM of 30,28,724

2 30, 28, 724
2 15, 14, 362
15, 7, 181

∴ So the LCM of the given numbers is 2 x 2 x 15 x 7 x 181 = 76020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76020

Therefore, the GCF of Fractions 65/30,476/28,278/724 is 1/76020

Least Common Multiple of 30,28,724 with GCF Formula

Least Common Multiple of 30,28,724 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 30,28,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,28,724) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(30,28,724) x common factors =2 x 4 = 8

LCM(30,28,724) = ( 30 × 28 × 724 ) / 8

LCM(30,28,724) = 608160 / 8

LCM(30,28,724) = 76020


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 65/30, 476/28, 278/724

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 65/30, 476/28, 278/724?

Answer: GCF of Numerators as per given numbers 65/30, 476/28, 278/724 is

GCF of Numerators i.e. for 65,476,278 is 1

LCM of denominators i.e. for 30,28,724 is 76020.

Thus, GCF of Fractions is 1/76020.Finally, GCF of Fractions for 65/30, 476/28, 278/724 is 1/76020.