Greatest Common Factor of 872/80, 360/62, 377/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 872/80, 360/62, 377/994

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 872/80,360/62,377/994

Given fractions are 872/80,360/62,377/994

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 872,360,377

Greatest Common Factor of Numerators i.e. GCF of 872,360,377 is 1 .

LCM of Denominators means LCM of 80,62,994 as per the given fractions.

LCM of 80,62,994 is 1232560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 872,360,377

GCF of Fractions 872/80,360/62,377/994 is 1/1232560

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

Greatest Common Factor of 872,360,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,360,377 By Matching Biggest Common Factor Method

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 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

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 872,360,377 . The biggest common factor number is the GCF number.
So the greatest common factor 872,360,377 is 1.

Lets's calculate LCM of 80,62,994

2 80, 62, 994
40, 31, 497

∴ So the LCM of the given numbers is 2 x 40 x 31 x 497 = 1232560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1232560

Therefore, the GCF of Fractions 872/80,360/62,377/994 is 1/1232560

Least Common Multiple of 80,62,994 with GCF Formula

Least Common Multiple of 80,62,994 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 80,62,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,62,994) = 2

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

GCF(80,62,994) x common factors =2 x 2 = 4

LCM(80,62,994) = ( 80 × 62 × 994 ) / 4

LCM(80,62,994) = 4930240 / 4

LCM(80,62,994) = 1232560


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 872/80, 360/62, 377/994

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 872/80, 360/62, 377/994?

Answer: GCF of Numerators as per given numbers 872/80, 360/62, 377/994 is

GCF of Numerators i.e. for 872,360,377 is 1

LCM of denominators i.e. for 80,62,994 is 1232560.

Thus, GCF of Fractions is 1/1232560.Finally, GCF of Fractions for 872/80, 360/62, 377/994 is 1/1232560.