Greatest Common Factor of 973/658, 2247/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 973/658, 2247/660

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 973/658,2247/660

Given fractions are 973/658,2247/660

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 973,2247

Greatest Common Factor of Numerators i.e. GCF of 973,2247 is 7 .

LCM of Denominators means LCM of 658,660 as per the given fractions.

LCM of 658,660 is 217140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 973,2247

GCF of Fractions 973/658,2247/660 is 7/217140

7 973, 2247
139, 321

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 973,2247 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,2247 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 2247

List of positive integer factors of 2247 that divides 2247 without a remainder.

1,3,7,21,107,321,749,2247

Greatest Common Factor

We found the factors 973,2247 . The biggest common factor number is the GCF number.
So the greatest common factor 973,2247 is 7.

Lets's calculate LCM of 658,660

2 658, 660
329, 330

∴ So the LCM of the given numbers is 2 x 329 x 330 = 217140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/217140

Therefore, the GCF of Fractions 973/658,2247/660 is 7/217140

Least Common Multiple of 658,660 with GCF Formula

Least Common Multiple of 658,660 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 658,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,660) = 2

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

GCF(658,660) x common factors =2 x 1 = 2

LCM(658,660) = ( 658 × 660 ) / 2

LCM(658,660) = 434280 / 2

LCM(658,660) = 217140


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 973/658, 2247/660

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 973/658, 2247/660?

Answer: GCF of Numerators as per given numbers 973/658, 2247/660 is

GCF of Numerators i.e. for 973,2247 is 7

LCM of denominators i.e. for 658,660 is 217140.

Thus, GCF of Fractions is 7/217140.Finally, GCF of Fractions for 973/658, 2247/660 is 7/217140.