Greatest Common Factor of 8240/86, 7772/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8240/86, 7772/781

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 8240/86,7772/781

Given fractions are 8240/86,7772/781

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 8240,7772

Greatest Common Factor of Numerators i.e. GCF of 8240,7772 is 4 .

LCM of Denominators means LCM of 86,781 as per the given fractions.

LCM of 86,781 is 67166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8240,7772

GCF of Fractions 8240/86,7772/781 is 4/67166

2 8240, 7772
2 4120, 3886
2060, 1943

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8240,7772 By Matching Biggest Common Factor Method

Greatest Common Factor of 8240,7772 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 7772

List of positive integer factors of 7772 that divides 7772 without a remainder.

1,2,4,29,58,67,116,134,268,1943,3886,7772

Greatest Common Factor

We found the factors 8240,7772 . The biggest common factor number is the GCF number.
So the greatest common factor 8240,7772 is 4.

Lets's calculate LCM of 86,781

Given numbers has no common factors except 1. So, there LCM is their product i.e 67166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/67166

Therefore, the GCF of Fractions 8240/86,7772/781 is 4/67166

Least Common Multiple of 86,781 with GCF Formula

Least Common Multiple of 86,781 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 86,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,781) = 1

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

GCF(86,781) x common factors =1 x 1 = 1

LCM(86,781) = ( 86 × 781 ) / 1

LCM(86,781) = 67166 / 1

LCM(86,781) = 67166


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 8240/86, 7772/781

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 8240/86, 7772/781?

Answer: GCF of Numerators as per given numbers 8240/86, 7772/781 is

GCF of Numerators i.e. for 8240,7772 is 4

LCM of denominators i.e. for 86,781 is 67166.

Thus, GCF of Fractions is 4/67166.Finally, GCF of Fractions for 8240/86, 7772/781 is 4/67166.