Greatest Common Factor of 264/785, 498/823, 673/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 264/785, 498/823, 673/820

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 264/785,498/823,673/820

Given fractions are 264/785,498/823,673/820

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 264,498,673

Greatest Common Factor of Numerators i.e. GCF of 264,498,673 is 1 .

LCM of Denominators means LCM of 785,823,820 as per the given fractions.

LCM of 785,823,820 is 105953020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 264,498,673

GCF of Fractions 264/785,498/823,673/820 is 1/105953020

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

Greatest Common Factor of 264,498,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,498,673 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Greatest Common Factor

We found the factors 264,498,673 . The biggest common factor number is the GCF number.
So the greatest common factor 264,498,673 is 1.

Lets's calculate LCM of 785,823,820

5 785, 823, 820
157, 823, 164

∴ So the LCM of the given numbers is 5 x 157 x 823 x 164 = 105953020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105953020

Therefore, the GCF of Fractions 264/785,498/823,673/820 is 1/105953020

Least Common Multiple of 785,823,820 with GCF Formula

Least Common Multiple of 785,823,820 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 785,823,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,823,820) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(785,823,820) x common factors =1 x 5 = 5

LCM(785,823,820) = ( 785 × 823 × 820 ) / 5

LCM(785,823,820) = 529765100 / 5

LCM(785,823,820) = 105953020


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 264/785, 498/823, 673/820

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 264/785, 498/823, 673/820?

Answer: GCF of Numerators as per given numbers 264/785, 498/823, 673/820 is

GCF of Numerators i.e. for 264,498,673 is 1

LCM of denominators i.e. for 785,823,820 is 105953020.

Thus, GCF of Fractions is 1/105953020.Finally, GCF of Fractions for 264/785, 498/823, 673/820 is 1/105953020.