Greatest Common Factor of 665/70, 928/52, 538/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 665/70, 928/52, 538/832

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 665/70,928/52,538/832

Given fractions are 665/70,928/52,538/832

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 665,928,538

Greatest Common Factor of Numerators i.e. GCF of 665,928,538 is 1 .

LCM of Denominators means LCM of 70,52,832 as per the given fractions.

LCM of 70,52,832 is 29120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 665,928,538

GCF of Fractions 665/70,928/52,538/832 is 1/29120

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

Greatest Common Factor of 665,928,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,928,538 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 665,928,538 . The biggest common factor number is the GCF number.
So the greatest common factor 665,928,538 is 1.

Lets's calculate LCM of 70,52,832

2 70, 52, 832
2 35, 26, 416
13 35, 13, 208
35, 1, 16

∴ So the LCM of the given numbers is 2 x 2 x 13 x 35 x 1 x 16 = 29120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29120

Therefore, the GCF of Fractions 665/70,928/52,538/832 is 1/29120

Least Common Multiple of 70,52,832 with GCF Formula

Least Common Multiple of 70,52,832 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 70,52,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,52,832) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(70,52,832) x common factors =2 x 52 = 104

LCM(70,52,832) = ( 70 × 52 × 832 ) / 104

LCM(70,52,832) = 3028480 / 104

LCM(70,52,832) = 29120


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 665/70, 928/52, 538/832

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 665/70, 928/52, 538/832?

Answer: GCF of Numerators as per given numbers 665/70, 928/52, 538/832 is

GCF of Numerators i.e. for 665,928,538 is 1

LCM of denominators i.e. for 70,52,832 is 29120.

Thus, GCF of Fractions is 1/29120.Finally, GCF of Fractions for 665/70, 928/52, 538/832 is 1/29120.