Greatest Common Factor of 623/240, 712/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 623/240, 712/657

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 623/240,712/657

Given fractions are 623/240,712/657

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 623,712

Greatest Common Factor of Numerators i.e. GCF of 623,712 is 89 .

LCM of Denominators means LCM of 240,657 as per the given fractions.

LCM of 240,657 is 52560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 623,712

GCF of Fractions 623/240,712/657 is 89/52560

89 623, 712
7, 8

∴ So the GCF of the given numbers is 89 = 89

Greatest Common Factor of 623,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,712 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 623,712 . The biggest common factor number is the GCF number.
So the greatest common factor 623,712 is 89.

Lets's calculate LCM of 240,657

3 240, 657
80, 219

∴ So the LCM of the given numbers is 3 x 80 x 219 = 52560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/52560

Therefore, the GCF of Fractions 623/240,712/657 is 89/52560

Least Common Multiple of 240,657 with GCF Formula

Least Common Multiple of 240,657 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 240,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,657) = 3

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

GCF(240,657) x common factors =3 x 1 = 3

LCM(240,657) = ( 240 × 657 ) / 3

LCM(240,657) = 157680 / 3

LCM(240,657) = 52560


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 623/240, 712/657

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 623/240, 712/657?

Answer: GCF of Numerators as per given numbers 623/240, 712/657 is

GCF of Numerators i.e. for 623,712 is 89

LCM of denominators i.e. for 240,657 is 52560.

Thus, GCF of Fractions is 89/52560.Finally, GCF of Fractions for 623/240, 712/657 is 89/52560.