Greatest Common Factor of 2720/98, 1020/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2720/98, 1020/530

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 2720/98,1020/530

Given fractions are 2720/98,1020/530

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 2720,1020

Greatest Common Factor of Numerators i.e. GCF of 2720,1020 is 340 .

LCM of Denominators means LCM of 98,530 as per the given fractions.

LCM of 98,530 is 25970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2720,1020

GCF of Fractions 2720/98,1020/530 is 340/25970

2 2720, 1020
2 1360, 510
5 680, 255
17 136, 51
8, 3

∴ So the GCF of the given numbers is 2 x 2 x 5 x 17 = 340

Greatest Common Factor of 2720,1020 By Matching Biggest Common Factor Method

Greatest Common Factor of 2720,1020 By Matching Biggest Common Factor Method

Factors of 2720

List of positive integer factors of 2720 that divides 2720 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720

Factors of 1020

List of positive integer factors of 1020 that divides 1020 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,30,34,51,60,68,85,102,170,204,255,340,510,1020

Greatest Common Factor

We found the factors 2720,1020 . The biggest common factor number is the GCF number.
So the greatest common factor 2720,1020 is 340.

Lets's calculate LCM of 98,530

2 98, 530
49, 265

∴ So the LCM of the given numbers is 2 x 49 x 265 = 25970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 340/25970

Therefore, the GCF of Fractions 2720/98,1020/530 is 340/25970

Least Common Multiple of 98,530 with GCF Formula

Least Common Multiple of 98,530 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 98,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,530) = 2

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

GCF(98,530) x common factors =2 x 1 = 2

LCM(98,530) = ( 98 × 530 ) / 2

LCM(98,530) = 51940 / 2

LCM(98,530) = 25970


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 2720/98, 1020/530

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 2720/98, 1020/530?

Answer: GCF of Numerators as per given numbers 2720/98, 1020/530 is

GCF of Numerators i.e. for 2720,1020 is 340

LCM of denominators i.e. for 98,530 is 25970.

Thus, GCF of Fractions is 340/25970.Finally, GCF of Fractions for 2720/98, 1020/530 is 340/25970.