Greatest Common Factor of 59/876, 924/873, 484/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/876, 924/873, 484/772

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 59/876,924/873,484/772

Given fractions are 59/876,924/873,484/772

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 59,924,484

Greatest Common Factor of Numerators i.e. GCF of 59,924,484 is 1 .

LCM of Denominators means LCM of 876,873,772 as per the given fractions.

LCM of 876,873,772 is 49198788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,924,484

GCF of Fractions 59/876,924/873,484/772 is 1/49198788

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

Greatest Common Factor of 59,924,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,924,484 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 59,924,484 . The biggest common factor number is the GCF number.
So the greatest common factor 59,924,484 is 1.

Lets's calculate LCM of 876,873,772

2 876, 873, 772
2 438, 873, 386
3 219, 873, 193
73, 291, 193

∴ So the LCM of the given numbers is 2 x 2 x 3 x 73 x 291 x 193 = 49198788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49198788

Therefore, the GCF of Fractions 59/876,924/873,484/772 is 1/49198788

Least Common Multiple of 876,873,772 with GCF Formula

Least Common Multiple of 876,873,772 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 876,873,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,873,772) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(876,873,772) x common factors =1 x 12 = 12

LCM(876,873,772) = ( 876 × 873 × 772 ) / 12

LCM(876,873,772) = 590385456 / 12

LCM(876,873,772) = 49198788


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 59/876, 924/873, 484/772

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 59/876, 924/873, 484/772?

Answer: GCF of Numerators as per given numbers 59/876, 924/873, 484/772 is

GCF of Numerators i.e. for 59,924,484 is 1

LCM of denominators i.e. for 876,873,772 is 49198788.

Thus, GCF of Fractions is 1/49198788.Finally, GCF of Fractions for 59/876, 924/873, 484/772 is 1/49198788.