Greatest Common Factor of 980/51, 318/78, 325/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 980/51, 318/78, 325/90

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 980/51,318/78,325/90

Given fractions are 980/51,318/78,325/90

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 980,318,325

Greatest Common Factor of Numerators i.e. GCF of 980,318,325 is 1 .

LCM of Denominators means LCM of 51,78,90 as per the given fractions.

LCM of 51,78,90 is 19890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 980,318,325

GCF of Fractions 980/51,318/78,325/90 is 1/19890

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

Greatest Common Factor of 980,318,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,318,325 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 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 980,318,325 . The biggest common factor number is the GCF number.
So the greatest common factor 980,318,325 is 1.

Lets's calculate LCM of 51,78,90

2 51, 78, 90
3 51, 39, 45
17, 13, 15

∴ So the LCM of the given numbers is 2 x 3 x 17 x 13 x 15 = 19890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19890

Therefore, the GCF of Fractions 980/51,318/78,325/90 is 1/19890

Least Common Multiple of 51,78,90 with GCF Formula

Least Common Multiple of 51,78,90 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 51,78,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,78,90) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(51,78,90) x common factors =3 x 6 = 18

LCM(51,78,90) = ( 51 × 78 × 90 ) / 18

LCM(51,78,90) = 358020 / 18

LCM(51,78,90) = 19890


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 980/51, 318/78, 325/90

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 980/51, 318/78, 325/90?

Answer: GCF of Numerators as per given numbers 980/51, 318/78, 325/90 is

GCF of Numerators i.e. for 980,318,325 is 1

LCM of denominators i.e. for 51,78,90 is 19890.

Thus, GCF of Fractions is 1/19890.Finally, GCF of Fractions for 980/51, 318/78, 325/90 is 1/19890.