Greatest Common Factor of 8677/821, 7636/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8677/821, 7636/928

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 8677/821,7636/928

Given fractions are 8677/821,7636/928

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 8677,7636

Greatest Common Factor of Numerators i.e. GCF of 8677,7636 is 1 .

LCM of Denominators means LCM of 821,928 as per the given fractions.

LCM of 821,928 is 761888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8677,7636

GCF of Fractions 8677/821,7636/928 is 1/761888

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

Greatest Common Factor of 8677,7636 By Matching Biggest Common Factor Method

Greatest Common Factor of 8677,7636 By Matching Biggest Common Factor Method

Factors of 8677

List of positive integer factors of 8677 that divides 8677 without a remainder.

1,8677

Factors of 7636

List of positive integer factors of 7636 that divides 7636 without a remainder.

1,2,4,23,46,83,92,166,332,1909,3818,7636

Greatest Common Factor

We found the factors 8677,7636 . The biggest common factor number is the GCF number.
So the greatest common factor 8677,7636 is 1.

Lets's calculate LCM of 821,928

Given numbers has no common factors except 1. So, there LCM is their product i.e 761888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/761888

Therefore, the GCF of Fractions 8677/821,7636/928 is 1/761888

Least Common Multiple of 821,928 with GCF Formula

Least Common Multiple of 821,928 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 821,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,928) = 1

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

GCF(821,928) x common factors =1 x 1 = 1

LCM(821,928) = ( 821 × 928 ) / 1

LCM(821,928) = 761888 / 1

LCM(821,928) = 761888


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 8677/821, 7636/928

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 8677/821, 7636/928?

Answer: GCF of Numerators as per given numbers 8677/821, 7636/928 is

GCF of Numerators i.e. for 8677,7636 is 1

LCM of denominators i.e. for 821,928 is 761888.

Thus, GCF of Fractions is 1/761888.Finally, GCF of Fractions for 8677/821, 7636/928 is 1/761888.