Greatest Common Factor of 1/64, 28/75, 85/207, 651/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/64, 28/75, 85/207, 651/755

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 1/64,28/75,85/207,651/755

Given fractions are 1/64,28/75,85/207,651/755

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 1,28,85,651

Greatest Common Factor of Numerators i.e. GCF of 1,28,85,651 is 1 .

LCM of Denominators means LCM of 64,75,207,755 as per the given fractions.

LCM of 64,75,207,755 is 50011200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,28,85,651

GCF of Fractions 1/64,28/75,85/207,651/755 is 1/50011200

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

Greatest Common Factor of 1,28,85,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,28,85,651 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 1,28,85,651 . The biggest common factor number is the GCF number.
So the greatest common factor 1,28,85,651 is 1.

Lets's calculate LCM of 64,75,207,755

3 64, 75, 207, 755
5 64, 25, 69, 755
64, 5, 69, 151

∴ So the LCM of the given numbers is 3 x 5 x 64 x 5 x 69 x 151 = 50011200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50011200

Therefore, the GCF of Fractions 1/64,28/75,85/207,651/755 is 1/50011200

Least Common Multiple of 64,75,207,755 with GCF Formula

Least Common Multiple of 64,75,207,755 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 64,75,207,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,75,207,755) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(64,75,207,755) x common factors =1 x 15 = 15

LCM(64,75,207,755) = ( 64 × 75 × 207 × 755 ) / 15

LCM(64,75,207,755) = 750168000 / 15

LCM(64,75,207,755) = 50011200


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 1/64, 28/75, 85/207, 651/755

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 1/64, 28/75, 85/207, 651/755?

Answer: GCF of Numerators as per given numbers 1/64, 28/75, 85/207, 651/755 is

GCF of Numerators i.e. for 1,28,85,651 is 1

LCM of denominators i.e. for 64,75,207,755 is 50011200.

Thus, GCF of Fractions is 1/50011200.Finally, GCF of Fractions for 1/64, 28/75, 85/207, 651/755 is 1/50011200.