Greatest Common Factor of 921/683, 351/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 921/683, 351/543

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 921/683,351/543

Given fractions are 921/683,351/543

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 921,351

Greatest Common Factor of Numerators i.e. GCF of 921,351 is 3 .

LCM of Denominators means LCM of 683,543 as per the given fractions.

LCM of 683,543 is 370869 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 921,351

GCF of Fractions 921/683,351/543 is 3/370869

3 921, 351
307, 117

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

Greatest Common Factor of 921,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,351 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 921,351 . The biggest common factor number is the GCF number.
So the greatest common factor 921,351 is 3.

Lets's calculate LCM of 683,543

Given numbers has no common factors except 1. So, there LCM is their product i.e 370869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/370869

Therefore, the GCF of Fractions 921/683,351/543 is 3/370869

Least Common Multiple of 683,543 with GCF Formula

Least Common Multiple of 683,543 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 683,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,543) = 1

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

GCF(683,543) x common factors =1 x 1 = 1

LCM(683,543) = ( 683 × 543 ) / 1

LCM(683,543) = 370869 / 1

LCM(683,543) = 370869


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 921/683, 351/543

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 921/683, 351/543?

Answer: GCF of Numerators as per given numbers 921/683, 351/543 is

GCF of Numerators i.e. for 921,351 is 3

LCM of denominators i.e. for 683,543 is 370869.

Thus, GCF of Fractions is 3/370869.Finally, GCF of Fractions for 921/683, 351/543 is 3/370869.