Greatest Common Factor of 41/97, 87/92, 895/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 41/97, 87/92, 895/188

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 41/97,87/92,895/188

Given fractions are 41/97,87/92,895/188

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 41,87,895

Greatest Common Factor of Numerators i.e. GCF of 41,87,895 is 1 .

LCM of Denominators means LCM of 97,92,188 as per the given fractions.

LCM of 97,92,188 is 419428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 41,87,895

GCF of Fractions 41/97,87/92,895/188 is 1/419428

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

Greatest Common Factor of 41,87,895 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,87,895 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 87

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

1,3,29,87

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 41,87,895 . The biggest common factor number is the GCF number.
So the greatest common factor 41,87,895 is 1.

Lets's calculate LCM of 97,92,188

2 97, 92, 188
2 97, 46, 94
97, 23, 47

∴ So the LCM of the given numbers is 2 x 2 x 97 x 23 x 47 = 419428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/419428

Therefore, the GCF of Fractions 41/97,87/92,895/188 is 1/419428

Least Common Multiple of 97,92,188 with GCF Formula

Least Common Multiple of 97,92,188 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 97,92,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,92,188) = 1

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

GCF(97,92,188) x common factors =1 x 4 = 4

LCM(97,92,188) = ( 97 × 92 × 188 ) / 4

LCM(97,92,188) = 1677712 / 4

LCM(97,92,188) = 419428


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 41/97, 87/92, 895/188

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 41/97, 87/92, 895/188?

Answer: GCF of Numerators as per given numbers 41/97, 87/92, 895/188 is

GCF of Numerators i.e. for 41,87,895 is 1

LCM of denominators i.e. for 97,92,188 is 419428.

Thus, GCF of Fractions is 1/419428.Finally, GCF of Fractions for 41/97, 87/92, 895/188 is 1/419428.