Greatest Common Factor of 7743/217, 4977/8536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7743/217, 4977/8536

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 7743/217,4977/8536

Given fractions are 7743/217,4977/8536

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 7743,4977

Greatest Common Factor of Numerators i.e. GCF of 7743,4977 is 3 .

LCM of Denominators means LCM of 217,8536 as per the given fractions.

LCM of 217,8536 is 1852312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7743,4977

GCF of Fractions 7743/217,4977/8536 is 3/1852312

3 7743, 4977
2581, 1659

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7743,4977 By Matching Biggest Common Factor Method

Greatest Common Factor of 7743,4977 By Matching Biggest Common Factor Method

Factors of 7743

List of positive integer factors of 7743 that divides 7743 without a remainder.

1,3,29,87,89,267,2581,7743

Factors of 4977

List of positive integer factors of 4977 that divides 4977 without a remainder.

1,3,7,9,21,63,79,237,553,711,1659,4977

Greatest Common Factor

We found the factors 7743,4977 . The biggest common factor number is the GCF number.
So the greatest common factor 7743,4977 is 3.

Lets's calculate LCM of 217,8536

Given numbers has no common factors except 1. So, there LCM is their product i.e 1852312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1852312

Therefore, the GCF of Fractions 7743/217,4977/8536 is 3/1852312

Least Common Multiple of 217,8536 with GCF Formula

Least Common Multiple of 217,8536 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 217,8536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,8536) = 1

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

GCF(217,8536) x common factors =1 x 1 = 1

LCM(217,8536) = ( 217 × 8536 ) / 1

LCM(217,8536) = 1852312 / 1

LCM(217,8536) = 1852312


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 7743/217, 4977/8536

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 7743/217, 4977/8536?

Answer: GCF of Numerators as per given numbers 7743/217, 4977/8536 is

GCF of Numerators i.e. for 7743,4977 is 3

LCM of denominators i.e. for 217,8536 is 1852312.

Thus, GCF of Fractions is 3/1852312.Finally, GCF of Fractions for 7743/217, 4977/8536 is 3/1852312.