Greatest Common Factor of 95/37, 81/658, 199/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 95/37, 81/658, 199/813

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 95/37,81/658,199/813

Given fractions are 95/37,81/658,199/813

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 95,81,199

Greatest Common Factor of Numerators i.e. GCF of 95,81,199 is 1 .

LCM of Denominators means LCM of 37,658,813 as per the given fractions.

LCM of 37,658,813 is 19793298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,81,199

GCF of Fractions 95/37,81/658,199/813 is 1/19793298

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

Greatest Common Factor of 95,81,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,81,199 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 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 95,81,199 . The biggest common factor number is the GCF number.
So the greatest common factor 95,81,199 is 1.


Lets's calculate LCM of 37,658,813

Given numbers has no common factors except 1. So, there LCM is their product i.e 19793298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19793298

Therefore, the GCF of Fractions 95/37,81/658,199/813 is 1/19793298

Least Common Multiple of 37,658,813 with GCF Formula

Least Common Multiple of 37,658,813 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 37,658,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,658,813) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,658,813) x common factors =1 x 1 = 1

LCM(37,658,813) = ( 37 × 658 × 813 ) / 1

LCM(37,658,813) = 19793298 / 1

LCM(37,658,813) = 19793298


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 95/37, 81/658, 199/813

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 95/37, 81/658, 199/813?

Answer: GCF of Numerators as per given numbers 95/37, 81/658, 199/813 is

GCF of Numerators i.e. for 95,81,199 is 1

LCM of denominators i.e. for 37,658,813 is 19793298.

Thus, GCF of Fractions is 1/19793298.Finally, GCF of Fractions for 95/37, 81/658, 199/813 is 1/19793298.