Greatest Common Factor of 980/810, 5789/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 980/810, 5789/755

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 980/810,5789/755

Given fractions are 980/810,5789/755

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 980,5789

Greatest Common Factor of Numerators i.e. GCF of 980,5789 is 7 .

LCM of Denominators means LCM of 810,755 as per the given fractions.

LCM of 810,755 is 122310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 980,5789

GCF of Fractions 980/810,5789/755 is 7/122310

7 980, 5789
140, 827

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 980,5789 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,5789 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 5789

List of positive integer factors of 5789 that divides 5789 without a remainder.

1,7,827,5789

Greatest Common Factor

We found the factors 980,5789 . The biggest common factor number is the GCF number.
So the greatest common factor 980,5789 is 7.

Lets's calculate LCM of 810,755

5 810, 755
162, 151

∴ So the LCM of the given numbers is 5 x 162 x 151 = 122310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/122310

Therefore, the GCF of Fractions 980/810,5789/755 is 7/122310

Least Common Multiple of 810,755 with GCF Formula

Least Common Multiple of 810,755 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 810,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,755) = 5

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

GCF(810,755) x common factors =5 x 1 = 5

LCM(810,755) = ( 810 × 755 ) / 5

LCM(810,755) = 611550 / 5

LCM(810,755) = 122310


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 980/810, 5789/755

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 980/810, 5789/755?

Answer: GCF of Numerators as per given numbers 980/810, 5789/755 is

GCF of Numerators i.e. for 980,5789 is 7

LCM of denominators i.e. for 810,755 is 122310.

Thus, GCF of Fractions is 7/122310.Finally, GCF of Fractions for 980/810, 5789/755 is 7/122310.