Greatest Common Factor of 6760/67, 4823/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6760/67, 4823/620

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 6760/67,4823/620

Given fractions are 6760/67,4823/620

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 6760,4823

Greatest Common Factor of Numerators i.e. GCF of 6760,4823 is 13 .

LCM of Denominators means LCM of 67,620 as per the given fractions.

LCM of 67,620 is 41540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6760,4823

GCF of Fractions 6760/67,4823/620 is 13/41540

13 6760, 4823
520, 371

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6760,4823 By Matching Biggest Common Factor Method

Greatest Common Factor of 6760,4823 By Matching Biggest Common Factor Method

Factors of 6760

List of positive integer factors of 6760 that divides 6760 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,169,260,338,520,676,845,1352,1690,3380,6760

Factors of 4823

List of positive integer factors of 4823 that divides 4823 without a remainder.

1,7,13,53,91,371,689,4823

Greatest Common Factor

We found the factors 6760,4823 . The biggest common factor number is the GCF number.
So the greatest common factor 6760,4823 is 13.

Lets's calculate LCM of 67,620

Given numbers has no common factors except 1. So, there LCM is their product i.e 41540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/41540

Therefore, the GCF of Fractions 6760/67,4823/620 is 13/41540

Least Common Multiple of 67,620 with GCF Formula

Least Common Multiple of 67,620 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 67,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,620) = 1

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

GCF(67,620) x common factors =1 x 1 = 1

LCM(67,620) = ( 67 × 620 ) / 1

LCM(67,620) = 41540 / 1

LCM(67,620) = 41540


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 6760/67, 4823/620

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 6760/67, 4823/620?

Answer: GCF of Numerators as per given numbers 6760/67, 4823/620 is

GCF of Numerators i.e. for 6760,4823 is 13

LCM of denominators i.e. for 67,620 is 41540.

Thus, GCF of Fractions is 13/41540.Finally, GCF of Fractions for 6760/67, 4823/620 is 13/41540.