Greatest Common Factor of 519/33, 922/64, 249/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 519/33, 922/64, 249/580

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 519/33,922/64,249/580

Given fractions are 519/33,922/64,249/580

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 519,922,249

Greatest Common Factor of Numerators i.e. GCF of 519,922,249 is 1 .

LCM of Denominators means LCM of 33,64,580 as per the given fractions.

LCM of 33,64,580 is 306240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 519,922,249

GCF of Fractions 519/33,922/64,249/580 is 1/306240

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

Greatest Common Factor of 519,922,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,922,249 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 519,922,249 . The biggest common factor number is the GCF number.
So the greatest common factor 519,922,249 is 1.

Lets's calculate LCM of 33,64,580

2 33, 64, 580
2 33, 32, 290
33, 16, 145

∴ So the LCM of the given numbers is 2 x 2 x 33 x 16 x 145 = 306240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306240

Therefore, the GCF of Fractions 519/33,922/64,249/580 is 1/306240

Least Common Multiple of 33,64,580 with GCF Formula

Least Common Multiple of 33,64,580 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 33,64,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,64,580) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(33,64,580) x common factors =1 x 4 = 4

LCM(33,64,580) = ( 33 × 64 × 580 ) / 4

LCM(33,64,580) = 1224960 / 4

LCM(33,64,580) = 306240


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 519/33, 922/64, 249/580

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 519/33, 922/64, 249/580?

Answer: GCF of Numerators as per given numbers 519/33, 922/64, 249/580 is

GCF of Numerators i.e. for 519,922,249 is 1

LCM of denominators i.e. for 33,64,580 is 306240.

Thus, GCF of Fractions is 1/306240.Finally, GCF of Fractions for 519/33, 922/64, 249/580 is 1/306240.