Greatest Common Factor of 535/584, 798/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 535/584, 798/600

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 535/584,798/600

Given fractions are 535/584,798/600

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 535,798

Greatest Common Factor of Numerators i.e. GCF of 535,798 is 1 .

LCM of Denominators means LCM of 584,600 as per the given fractions.

LCM of 584,600 is 43800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 535,798

GCF of Fractions 535/584,798/600 is 1/43800

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

Greatest Common Factor of 535,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,798 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 535,798 . The biggest common factor number is the GCF number.
So the greatest common factor 535,798 is 1.

Lets's calculate LCM of 584,600

2 584, 600
2 292, 300
2 146, 150
73, 75

∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 75 = 43800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43800

Therefore, the GCF of Fractions 535/584,798/600 is 1/43800

Least Common Multiple of 584,600 with GCF Formula

Least Common Multiple of 584,600 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 584,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,600) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(584,600) x common factors =8 x 1 = 8

LCM(584,600) = ( 584 × 600 ) / 8

LCM(584,600) = 350400 / 8

LCM(584,600) = 43800


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 535/584, 798/600

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 535/584, 798/600?

Answer: GCF of Numerators as per given numbers 535/584, 798/600 is

GCF of Numerators i.e. for 535,798 is 1

LCM of denominators i.e. for 584,600 is 43800.

Thus, GCF of Fractions is 1/43800.Finally, GCF of Fractions for 535/584, 798/600 is 1/43800.