Greatest Common Factor of 980/211, 530/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 980/211, 530/960

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 980/211,530/960

Given fractions are 980/211,530/960

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 980,530

Greatest Common Factor of Numerators i.e. GCF of 980,530 is 10 .

LCM of Denominators means LCM of 211,960 as per the given fractions.

LCM of 211,960 is 202560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 980,530

GCF of Fractions 980/211,530/960 is 10/202560

2 980, 530
5 490, 265
98, 53

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 980,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,530 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 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 980,530 . The biggest common factor number is the GCF number.
So the greatest common factor 980,530 is 10.

Lets's calculate LCM of 211,960

Given numbers has no common factors except 1. So, there LCM is their product i.e 202560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/202560

Therefore, the GCF of Fractions 980/211,530/960 is 10/202560

Least Common Multiple of 211,960 with GCF Formula

Least Common Multiple of 211,960 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 211,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,960) = 1

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

GCF(211,960) x common factors =1 x 1 = 1

LCM(211,960) = ( 211 × 960 ) / 1

LCM(211,960) = 202560 / 1

LCM(211,960) = 202560


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 980/211, 530/960

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 980/211, 530/960?

Answer: GCF of Numerators as per given numbers 980/211, 530/960 is

GCF of Numerators i.e. for 980,530 is 10

LCM of denominators i.e. for 211,960 is 202560.

Thus, GCF of Fractions is 10/202560.Finally, GCF of Fractions for 980/211, 530/960 is 10/202560.