Greatest Common Factor of 44/854, 25/695, 360/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/854, 25/695, 360/624

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 44/854,25/695,360/624

Given fractions are 44/854,25/695,360/624

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 44,25,360

Greatest Common Factor of Numerators i.e. GCF of 44,25,360 is 1 .

LCM of Denominators means LCM of 854,695,624 as per the given fractions.

LCM of 854,695,624 is 185181360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,25,360

GCF of Fractions 44/854,25/695,360/624 is 1/185181360

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

Greatest Common Factor of 44,25,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,25,360 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 44,25,360 . The biggest common factor number is the GCF number.
So the greatest common factor 44,25,360 is 1.

Lets's calculate LCM of 854,695,624

2 854, 695, 624
427, 695, 312

∴ So the LCM of the given numbers is 2 x 427 x 695 x 312 = 185181360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185181360

Therefore, the GCF of Fractions 44/854,25/695,360/624 is 1/185181360

Least Common Multiple of 854,695,624 with GCF Formula

Least Common Multiple of 854,695,624 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 854,695,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,695,624) = 1

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

GCF(854,695,624) x common factors =1 x 2 = 2

LCM(854,695,624) = ( 854 × 695 × 624 ) / 2

LCM(854,695,624) = 370362720 / 2

LCM(854,695,624) = 185181360


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 44/854, 25/695, 360/624

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 44/854, 25/695, 360/624?

Answer: GCF of Numerators as per given numbers 44/854, 25/695, 360/624 is

GCF of Numerators i.e. for 44,25,360 is 1

LCM of denominators i.e. for 854,695,624 is 185181360.

Thus, GCF of Fractions is 1/185181360.Finally, GCF of Fractions for 44/854, 25/695, 360/624 is 1/185181360.