Greatest Common Factor of 95/315, 309/765, 517/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/315, 309/765, 517/292

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 95/315,309/765,517/292

Given fractions are 95/315,309/765,517/292

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 95,309,517

Greatest Common Factor of Numerators i.e. GCF of 95,309,517 is 1 .

LCM of Denominators means LCM of 315,765,292 as per the given fractions.

LCM of 315,765,292 is 1563660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,309,517

GCF of Fractions 95/315,309/765,517/292 is 1/1563660

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

Greatest Common Factor of 95,309,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,309,517 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 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 95,309,517 . The biggest common factor number is the GCF number.
So the greatest common factor 95,309,517 is 1.

Lets's calculate LCM of 315,765,292

3 315, 765, 292
3 105, 255, 292
5 35, 85, 292
7, 17, 292

∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 17 x 292 = 1563660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1563660

Therefore, the GCF of Fractions 95/315,309/765,517/292 is 1/1563660

Least Common Multiple of 315,765,292 with GCF Formula

Least Common Multiple of 315,765,292 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 315,765,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,765,292) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(315,765,292) x common factors =1 x 45 = 45

LCM(315,765,292) = ( 315 × 765 × 292 ) / 45

LCM(315,765,292) = 70364700 / 45

LCM(315,765,292) = 1563660


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 95/315, 309/765, 517/292

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 95/315, 309/765, 517/292?

Answer: GCF of Numerators as per given numbers 95/315, 309/765, 517/292 is

GCF of Numerators i.e. for 95,309,517 is 1

LCM of denominators i.e. for 315,765,292 is 1563660.

Thus, GCF of Fractions is 1/1563660.Finally, GCF of Fractions for 95/315, 309/765, 517/292 is 1/1563660.