Greatest Common Factor of 8236/726, 5861/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8236/726, 5861/777

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 8236/726,5861/777

Given fractions are 8236/726,5861/777

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 8236,5861

Greatest Common Factor of Numerators i.e. GCF of 8236,5861 is 1 .

LCM of Denominators means LCM of 726,777 as per the given fractions.

LCM of 726,777 is 188034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8236,5861

GCF of Fractions 8236/726,5861/777 is 1/188034

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8236,5861 By Matching Biggest Common Factor Method

Greatest Common Factor of 8236,5861 By Matching Biggest Common Factor Method

Factors of 8236

List of positive integer factors of 8236 that divides 8236 without a remainder.

1,2,4,29,58,71,116,142,284,2059,4118,8236

Factors of 5861

List of positive integer factors of 5861 that divides 5861 without a remainder.

1,5861

Greatest Common Factor

We found the factors 8236,5861 . The biggest common factor number is the GCF number.
So the greatest common factor 8236,5861 is 1.

Lets's calculate LCM of 726,777

3 726, 777
242, 259

∴ So the LCM of the given numbers is 3 x 242 x 259 = 188034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188034

Therefore, the GCF of Fractions 8236/726,5861/777 is 1/188034

Least Common Multiple of 726,777 with GCF Formula

Least Common Multiple of 726,777 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 726,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,777) = 3

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

GCF(726,777) x common factors =3 x 1 = 3

LCM(726,777) = ( 726 × 777 ) / 3

LCM(726,777) = 564102 / 3

LCM(726,777) = 188034


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 8236/726, 5861/777

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 8236/726, 5861/777?

Answer: GCF of Numerators as per given numbers 8236/726, 5861/777 is

GCF of Numerators i.e. for 8236,5861 is 1

LCM of denominators i.e. for 726,777 is 188034.

Thus, GCF of Fractions is 1/188034.Finally, GCF of Fractions for 8236/726, 5861/777 is 1/188034.