Greatest Common Factor of 544/748, 660/566, 884/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 544/748, 660/566, 884/823

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 544/748,660/566,884/823

Given fractions are 544/748,660/566,884/823

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 544,660,884

Greatest Common Factor of Numerators i.e. GCF of 544,660,884 is 4 .

LCM of Denominators means LCM of 748,566,823 as per the given fractions.

LCM of 748,566,823 is 174215932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 544,660,884

GCF of Fractions 544/748,660/566,884/823 is 4/174215932

2 544, 660, 884
2 272, 330, 442
136, 165, 221

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 544,660,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,660,884 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 544,660,884 . The biggest common factor number is the GCF number.
So the greatest common factor 544,660,884 is 4.

Lets's calculate LCM of 748,566,823

2 748, 566, 823
374, 283, 823

∴ So the LCM of the given numbers is 2 x 374 x 283 x 823 = 174215932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/174215932

Therefore, the GCF of Fractions 544/748,660/566,884/823 is 4/174215932

Least Common Multiple of 748,566,823 with GCF Formula

Least Common Multiple of 748,566,823 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 748,566,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,566,823) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(748,566,823) x common factors =1 x 2 = 2

LCM(748,566,823) = ( 748 × 566 × 823 ) / 2

LCM(748,566,823) = 348431864 / 2

LCM(748,566,823) = 174215932


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 544/748, 660/566, 884/823

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 544/748, 660/566, 884/823?

Answer: GCF of Numerators as per given numbers 544/748, 660/566, 884/823 is

GCF of Numerators i.e. for 544,660,884 is 4

LCM of denominators i.e. for 748,566,823 is 174215932.

Thus, GCF of Fractions is 4/174215932.Finally, GCF of Fractions for 544/748, 660/566, 884/823 is 4/174215932.