Greatest Common Factor of 95/528, 654/456, 895/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/528, 654/456, 895/532

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 95/528,654/456,895/532

Given fractions are 95/528,654/456,895/532

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 95,654,895

Greatest Common Factor of Numerators i.e. GCF of 95,654,895 is 1 .

LCM of Denominators means LCM of 528,456,532 as per the given fractions.

LCM of 528,456,532 is 70224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,654,895

GCF of Fractions 95/528,654/456,895/532 is 1/70224

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

Greatest Common Factor of 95,654,895 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,654,895 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Greatest Common Factor

We found the factors 95,654,895 . The biggest common factor number is the GCF number.
So the greatest common factor 95,654,895 is 1.

Lets's calculate LCM of 528,456,532

2 528, 456, 532
2 264, 228, 266
2 132, 114, 133
3 66, 57, 133
19 22, 19, 133
22, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 22 x 1 x 7 = 70224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70224

Therefore, the GCF of Fractions 95/528,654/456,895/532 is 1/70224

Least Common Multiple of 528,456,532 with GCF Formula

Least Common Multiple of 528,456,532 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 528,456,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,456,532) = 4

common factors(in case of two or more numbers have common factors) = 456

GCF(528,456,532) x common factors =4 x 456 = 1824

LCM(528,456,532) = ( 528 × 456 × 532 ) / 1824

LCM(528,456,532) = 128088576 / 1824

LCM(528,456,532) = 70224


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 95/528, 654/456, 895/532

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 95/528, 654/456, 895/532?

Answer: GCF of Numerators as per given numbers 95/528, 654/456, 895/532 is

GCF of Numerators i.e. for 95,654,895 is 1

LCM of denominators i.e. for 528,456,532 is 70224.

Thus, GCF of Fractions is 1/70224.Finally, GCF of Fractions for 95/528, 654/456, 895/532 is 1/70224.