Greatest Common Factor of 973/701, 7923/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 973/701, 7923/654

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 973/701,7923/654

Given fractions are 973/701,7923/654

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 973,7923

Greatest Common Factor of Numerators i.e. GCF of 973,7923 is 139 .

LCM of Denominators means LCM of 701,654 as per the given fractions.

LCM of 701,654 is 458454 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 973,7923

GCF of Fractions 973/701,7923/654 is 139/458454

139 973, 7923
7, 57

∴ So the GCF of the given numbers is 139 = 139

Greatest Common Factor of 973,7923 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,7923 By Matching Biggest Common Factor Method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 7923

List of positive integer factors of 7923 that divides 7923 without a remainder.

1,3,19,57,139,417,2641,7923

Greatest Common Factor

We found the factors 973,7923 . The biggest common factor number is the GCF number.
So the greatest common factor 973,7923 is 139.

Lets's calculate LCM of 701,654

Given numbers has no common factors except 1. So, there LCM is their product i.e 458454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 139/458454

Therefore, the GCF of Fractions 973/701,7923/654 is 139/458454

Least Common Multiple of 701,654 with GCF Formula

Least Common Multiple of 701,654 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 701,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,654) = 1

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

GCF(701,654) x common factors =1 x 1 = 1

LCM(701,654) = ( 701 × 654 ) / 1

LCM(701,654) = 458454 / 1

LCM(701,654) = 458454


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 973/701, 7923/654

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 973/701, 7923/654?

Answer: GCF of Numerators as per given numbers 973/701, 7923/654 is

GCF of Numerators i.e. for 973,7923 is 139

LCM of denominators i.e. for 701,654 is 458454.

Thus, GCF of Fractions is 139/458454.Finally, GCF of Fractions for 973/701, 7923/654 is 139/458454.