Greatest Common Factor of 95/82, 94/28, 709/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/82, 94/28, 709/241

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 95/82,94/28,709/241

Given fractions are 95/82,94/28,709/241

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 95,94,709

Greatest Common Factor of Numerators i.e. GCF of 95,94,709 is 1 .

LCM of Denominators means LCM of 82,28,241 as per the given fractions.

LCM of 82,28,241 is 276668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,94,709

GCF of Fractions 95/82,94/28,709/241 is 1/276668

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

Greatest Common Factor of 95,94,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,94,709 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 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 95,94,709 . The biggest common factor number is the GCF number.
So the greatest common factor 95,94,709 is 1.

Lets's calculate LCM of 82,28,241

2 82, 28, 241
41, 14, 241

∴ So the LCM of the given numbers is 2 x 41 x 14 x 241 = 276668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276668

Therefore, the GCF of Fractions 95/82,94/28,709/241 is 1/276668

Least Common Multiple of 82,28,241 with GCF Formula

Least Common Multiple of 82,28,241 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 82,28,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,28,241) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,28,241) x common factors =1 x 2 = 2

LCM(82,28,241) = ( 82 × 28 × 241 ) / 2

LCM(82,28,241) = 553336 / 2

LCM(82,28,241) = 276668


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 95/82, 94/28, 709/241

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 95/82, 94/28, 709/241?

Answer: GCF of Numerators as per given numbers 95/82, 94/28, 709/241 is

GCF of Numerators i.e. for 95,94,709 is 1

LCM of denominators i.e. for 82,28,241 is 276668.

Thus, GCF of Fractions is 1/276668.Finally, GCF of Fractions for 95/82, 94/28, 709/241 is 1/276668.