Greatest Common Factor of 650/78, 529/28, 998/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 650/78, 529/28, 998/583

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 650/78,529/28,998/583

Given fractions are 650/78,529/28,998/583

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 650,529,998

Greatest Common Factor of Numerators i.e. GCF of 650,529,998 is 1 .

LCM of Denominators means LCM of 78,28,583 as per the given fractions.

LCM of 78,28,583 is 636636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 650,529,998

GCF of Fractions 650/78,529/28,998/583 is 1/636636

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

Greatest Common Factor of 650,529,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,529,998 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 650,529,998 . The biggest common factor number is the GCF number.
So the greatest common factor 650,529,998 is 1.

Lets's calculate LCM of 78,28,583

2 78, 28, 583
39, 14, 583

∴ So the LCM of the given numbers is 2 x 39 x 14 x 583 = 636636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/636636

Therefore, the GCF of Fractions 650/78,529/28,998/583 is 1/636636

Least Common Multiple of 78,28,583 with GCF Formula

Least Common Multiple of 78,28,583 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 78,28,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,28,583) = 1

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

GCF(78,28,583) x common factors =1 x 2 = 2

LCM(78,28,583) = ( 78 × 28 × 583 ) / 2

LCM(78,28,583) = 1273272 / 2

LCM(78,28,583) = 636636


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 650/78, 529/28, 998/583

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 650/78, 529/28, 998/583?

Answer: GCF of Numerators as per given numbers 650/78, 529/28, 998/583 is

GCF of Numerators i.e. for 650,529,998 is 1

LCM of denominators i.e. for 78,28,583 is 636636.

Thus, GCF of Fractions is 1/636636.Finally, GCF of Fractions for 650/78, 529/28, 998/583 is 1/636636.