Greatest Common Factor of 323/377, 872/650, 561/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 323/377, 872/650, 561/735

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 323/377,872/650,561/735

Given fractions are 323/377,872/650,561/735

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 323,872,561

Greatest Common Factor of Numerators i.e. GCF of 323,872,561 is 1 .

LCM of Denominators means LCM of 377,650,735 as per the given fractions.

LCM of 377,650,735 is 2770950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 323,872,561

GCF of Fractions 323/377,872/650,561/735 is 1/2770950

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 323,872,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,872,561 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 323,872,561 . The biggest common factor number is the GCF number.
So the greatest common factor 323,872,561 is 1.

Lets's calculate LCM of 377,650,735

5 377, 650, 735
13 377, 130, 147
29, 10, 147

∴ So the LCM of the given numbers is 5 x 13 x 29 x 10 x 147 = 2770950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2770950

Therefore, the GCF of Fractions 323/377,872/650,561/735 is 1/2770950

Least Common Multiple of 377,650,735 with GCF Formula

Least Common Multiple of 377,650,735 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 377,650,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,650,735) = 1

common factors(in case of two or more numbers have common factors) = 65

GCF(377,650,735) x common factors =1 x 65 = 65

LCM(377,650,735) = ( 377 × 650 × 735 ) / 65

LCM(377,650,735) = 180111750 / 65

LCM(377,650,735) = 2770950


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 323/377, 872/650, 561/735

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 323/377, 872/650, 561/735?

Answer: GCF of Numerators as per given numbers 323/377, 872/650, 561/735 is

GCF of Numerators i.e. for 323,872,561 is 1

LCM of denominators i.e. for 377,650,735 is 2770950.

Thus, GCF of Fractions is 1/2770950.Finally, GCF of Fractions for 323/377, 872/650, 561/735 is 1/2770950.