Greatest Common Factor of 878/72, 585/30, 773/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 878/72, 585/30, 773/580

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 878/72,585/30,773/580

Given fractions are 878/72,585/30,773/580

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 878,585,773

Greatest Common Factor of Numerators i.e. GCF of 878,585,773 is 1 .

LCM of Denominators means LCM of 72,30,580 as per the given fractions.

LCM of 72,30,580 is 10440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 878,585,773

GCF of Fractions 878/72,585/30,773/580 is 1/10440

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

Greatest Common Factor of 878,585,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,585,773 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 878,585,773 . The biggest common factor number is the GCF number.
So the greatest common factor 878,585,773 is 1.

Lets's calculate LCM of 72,30,580

2 72, 30, 580
2 36, 15, 290
3 18, 15, 145
5 6, 5, 145
6, 1, 29

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 6 x 1 x 29 = 10440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10440

Therefore, the GCF of Fractions 878/72,585/30,773/580 is 1/10440

Least Common Multiple of 72,30,580 with GCF Formula

Least Common Multiple of 72,30,580 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 72,30,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,30,580) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(72,30,580) x common factors =2 x 60 = 120

LCM(72,30,580) = ( 72 × 30 × 580 ) / 120

LCM(72,30,580) = 1252800 / 120

LCM(72,30,580) = 10440


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 878/72, 585/30, 773/580

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 878/72, 585/30, 773/580?

Answer: GCF of Numerators as per given numbers 878/72, 585/30, 773/580 is

GCF of Numerators i.e. for 878,585,773 is 1

LCM of denominators i.e. for 72,30,580 is 10440.

Thus, GCF of Fractions is 1/10440.Finally, GCF of Fractions for 878/72, 585/30, 773/580 is 1/10440.