Greatest Common Factor of 664/87, 912/52, 546/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 664/87, 912/52, 546/377

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 664/87,912/52,546/377

Given fractions are 664/87,912/52,546/377

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 664,912,546

Greatest Common Factor of Numerators i.e. GCF of 664,912,546 is 2 .

LCM of Denominators means LCM of 87,52,377 as per the given fractions.

LCM of 87,52,377 is 4524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 664,912,546

GCF of Fractions 664/87,912/52,546/377 is 2/4524

2 664, 912, 546
332, 456, 273

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 664,912,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,912,546 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 664,912,546 . The biggest common factor number is the GCF number.
So the greatest common factor 664,912,546 is 2.

Lets's calculate LCM of 87,52,377

13 87, 52, 377
29 87, 4, 29
3, 4, 1

∴ So the LCM of the given numbers is 13 x 29 x 3 x 4 x 1 = 4524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4524

Therefore, the GCF of Fractions 664/87,912/52,546/377 is 2/4524

Least Common Multiple of 87,52,377 with GCF Formula

Least Common Multiple of 87,52,377 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 87,52,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,52,377) = 1

common factors(in case of two or more numbers have common factors) = 377

GCF(87,52,377) x common factors =1 x 377 = 377

LCM(87,52,377) = ( 87 × 52 × 377 ) / 377

LCM(87,52,377) = 1705548 / 377

LCM(87,52,377) = 4524


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 664/87, 912/52, 546/377

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 664/87, 912/52, 546/377?

Answer: GCF of Numerators as per given numbers 664/87, 912/52, 546/377 is

GCF of Numerators i.e. for 664,912,546 is 2

LCM of denominators i.e. for 87,52,377 is 4524.

Thus, GCF of Fractions is 2/4524.Finally, GCF of Fractions for 664/87, 912/52, 546/377 is 2/4524.