Greatest Common Factor of 980/36, 675/10, 517/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 980/36, 675/10, 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 980/36,675/10,517/292

Given fractions are 980/36,675/10,517/292

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 980,675,517

Greatest Common Factor of Numerators i.e. GCF of 980,675,517 is 1 .

LCM of Denominators means LCM of 36,10,292 as per the given fractions.

LCM of 36,10,292 is 13140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 980,675,517

GCF of Fractions 980/36,675/10,517/292 is 1/13140

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

Greatest Common Factor of 980,675,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,675,517 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

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 980,675,517 . The biggest common factor number is the GCF number.
So the greatest common factor 980,675,517 is 1.

Lets's calculate LCM of 36,10,292

2 36, 10, 292
2 18, 5, 146
9, 5, 73

∴ So the LCM of the given numbers is 2 x 2 x 9 x 5 x 73 = 13140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13140

Therefore, the GCF of Fractions 980/36,675/10,517/292 is 1/13140

Least Common Multiple of 36,10,292 with GCF Formula

Least Common Multiple of 36,10,292 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 36,10,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,10,292) = 2

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

GCF(36,10,292) x common factors =2 x 4 = 8

LCM(36,10,292) = ( 36 × 10 × 292 ) / 8

LCM(36,10,292) = 105120 / 8

LCM(36,10,292) = 13140


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 980/36, 675/10, 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 980/36, 675/10, 517/292?

Answer: GCF of Numerators as per given numbers 980/36, 675/10, 517/292 is

GCF of Numerators i.e. for 980,675,517 is 1

LCM of denominators i.e. for 36,10,292 is 13140.

Thus, GCF of Fractions is 1/13140.Finally, GCF of Fractions for 980/36, 675/10, 517/292 is 1/13140.