Greatest Common Factor of 654/44, 474/68, 732/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 654/44, 474/68, 732/633

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 654/44,474/68,732/633

Given fractions are 654/44,474/68,732/633

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 654,474,732

Greatest Common Factor of Numerators i.e. GCF of 654,474,732 is 6 .

LCM of Denominators means LCM of 44,68,633 as per the given fractions.

LCM of 44,68,633 is 473484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 654,474,732

GCF of Fractions 654/44,474/68,732/633 is 6/473484

2 654, 474, 732
3 327, 237, 366
109, 79, 122

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 654,474,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,474,732 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 654,474,732 . The biggest common factor number is the GCF number.
So the greatest common factor 654,474,732 is 6.

Lets's calculate LCM of 44,68,633

2 44, 68, 633
2 22, 34, 633
11, 17, 633

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 633 = 473484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/473484

Therefore, the GCF of Fractions 654/44,474/68,732/633 is 6/473484

Least Common Multiple of 44,68,633 with GCF Formula

Least Common Multiple of 44,68,633 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 44,68,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,68,633) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,68,633) x common factors =1 x 4 = 4

LCM(44,68,633) = ( 44 × 68 × 633 ) / 4

LCM(44,68,633) = 1893936 / 4

LCM(44,68,633) = 473484


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 654/44, 474/68, 732/633

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 654/44, 474/68, 732/633?

Answer: GCF of Numerators as per given numbers 654/44, 474/68, 732/633 is

GCF of Numerators i.e. for 654,474,732 is 6

LCM of denominators i.e. for 44,68,633 is 473484.

Thus, GCF of Fractions is 6/473484.Finally, GCF of Fractions for 654/44, 474/68, 732/633 is 6/473484.