Greatest Common Factor of 980/84, 360/2648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 980/84, 360/2648

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 980/84,360/2648

Given fractions are 980/84,360/2648

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 980,360

Greatest Common Factor of Numerators i.e. GCF of 980,360 is 20 .

LCM of Denominators means LCM of 84,2648 as per the given fractions.

LCM of 84,2648 is 55608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 980,360

GCF of Fractions 980/84,360/2648 is 20/55608

2 980, 360
2 490, 180
5 245, 90
49, 18

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 980,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,360 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 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 980,360 . The biggest common factor number is the GCF number.
So the greatest common factor 980,360 is 20.

Lets's calculate LCM of 84,2648

2 84, 2648
2 42, 1324
21, 662

∴ So the LCM of the given numbers is 2 x 2 x 21 x 662 = 55608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/55608

Therefore, the GCF of Fractions 980/84,360/2648 is 20/55608

Least Common Multiple of 84,2648 with GCF Formula

Least Common Multiple of 84,2648 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 84,2648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,2648) = 4

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

GCF(84,2648) x common factors =4 x 1 = 4

LCM(84,2648) = ( 84 × 2648 ) / 4

LCM(84,2648) = 222432 / 4

LCM(84,2648) = 55608


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 980/84, 360/2648

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 980/84, 360/2648?

Answer: GCF of Numerators as per given numbers 980/84, 360/2648 is

GCF of Numerators i.e. for 980,360 is 20

LCM of denominators i.e. for 84,2648 is 55608.

Thus, GCF of Fractions is 20/55608.Finally, GCF of Fractions for 980/84, 360/2648 is 20/55608.