Greatest Common Factor of 83/925, 509/973, 680/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/925, 509/973, 680/264

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 83/925,509/973,680/264

Given fractions are 83/925,509/973,680/264

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 83,509,680

Greatest Common Factor of Numerators i.e. GCF of 83,509,680 is 1 .

LCM of Denominators means LCM of 925,973,264 as per the given fractions.

LCM of 925,973,264 is 237606600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,509,680

GCF of Fractions 83/925,509/973,680/264 is 1/237606600

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

Greatest Common Factor of 83,509,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,509,680 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 83,509,680 . The biggest common factor number is the GCF number.
So the greatest common factor 83,509,680 is 1.

Lets's calculate LCM of 925,973,264

Given numbers has no common factors except 1. So, there LCM is their product i.e 237606600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237606600

Therefore, the GCF of Fractions 83/925,509/973,680/264 is 1/237606600

Least Common Multiple of 925,973,264 with GCF Formula

Least Common Multiple of 925,973,264 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 925,973,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,973,264) = 1

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

GCF(925,973,264) x common factors =1 x 1 = 1

LCM(925,973,264) = ( 925 × 973 × 264 ) / 1

LCM(925,973,264) = 237606600 / 1

LCM(925,973,264) = 237606600


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 83/925, 509/973, 680/264

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 83/925, 509/973, 680/264?

Answer: GCF of Numerators as per given numbers 83/925, 509/973, 680/264 is

GCF of Numerators i.e. for 83,509,680 is 1

LCM of denominators i.e. for 925,973,264 is 237606600.

Thus, GCF of Fractions is 1/237606600.Finally, GCF of Fractions for 83/925, 509/973, 680/264 is 1/237606600.