Greatest Common Factor of 8240/47, 6746/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8240/47, 6746/780

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 8240/47,6746/780

Given fractions are 8240/47,6746/780

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 8240,6746

Greatest Common Factor of Numerators i.e. GCF of 8240,6746 is 2 .

LCM of Denominators means LCM of 47,780 as per the given fractions.

LCM of 47,780 is 36660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8240,6746

GCF of Fractions 8240/47,6746/780 is 2/36660

2 8240, 6746
4120, 3373

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8240,6746 By Matching Biggest Common Factor Method

Greatest Common Factor of 8240,6746 By Matching Biggest Common Factor Method

Factors of 8240

List of positive integer factors of 8240 that divides 8240 without a remainder.

1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240

Factors of 6746

List of positive integer factors of 6746 that divides 6746 without a remainder.

1,2,3373,6746

Greatest Common Factor

We found the factors 8240,6746 . The biggest common factor number is the GCF number.
So the greatest common factor 8240,6746 is 2.

Lets's calculate LCM of 47,780

Given numbers has no common factors except 1. So, there LCM is their product i.e 36660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36660

Therefore, the GCF of Fractions 8240/47,6746/780 is 2/36660

Least Common Multiple of 47,780 with GCF Formula

Least Common Multiple of 47,780 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 47,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,780) = 1

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

GCF(47,780) x common factors =1 x 1 = 1

LCM(47,780) = ( 47 × 780 ) / 1

LCM(47,780) = 36660 / 1

LCM(47,780) = 36660


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 8240/47, 6746/780

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 8240/47, 6746/780?

Answer: GCF of Numerators as per given numbers 8240/47, 6746/780 is

GCF of Numerators i.e. for 8240,6746 is 2

LCM of denominators i.e. for 47,780 is 36660.

Thus, GCF of Fractions is 2/36660.Finally, GCF of Fractions for 8240/47, 6746/780 is 2/36660.