Greatest Common Factor of 7580/210, 1713/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7580/210, 1713/332

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 7580/210,1713/332

Given fractions are 7580/210,1713/332

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 7580,1713

Greatest Common Factor of Numerators i.e. GCF of 7580,1713 is 1 .

LCM of Denominators means LCM of 210,332 as per the given fractions.

LCM of 210,332 is 34860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7580,1713

GCF of Fractions 7580/210,1713/332 is 1/34860

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

Greatest Common Factor of 7580,1713 By Matching Biggest Common Factor Method

Greatest Common Factor of 7580,1713 By Matching Biggest Common Factor Method

Factors of 7580

List of positive integer factors of 7580 that divides 7580 without a remainder.

1,2,4,5,10,20,379,758,1516,1895,3790,7580

Factors of 1713

List of positive integer factors of 1713 that divides 1713 without a remainder.

1,3,571,1713

Greatest Common Factor

We found the factors 7580,1713 . The biggest common factor number is the GCF number.
So the greatest common factor 7580,1713 is 1.

Lets's calculate LCM of 210,332

2 210, 332
105, 166

∴ So the LCM of the given numbers is 2 x 105 x 166 = 34860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34860

Therefore, the GCF of Fractions 7580/210,1713/332 is 1/34860

Least Common Multiple of 210,332 with GCF Formula

Least Common Multiple of 210,332 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 210,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,332) = 2

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

GCF(210,332) x common factors =2 x 1 = 2

LCM(210,332) = ( 210 × 332 ) / 2

LCM(210,332) = 69720 / 2

LCM(210,332) = 34860


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 7580/210, 1713/332

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 7580/210, 1713/332?

Answer: GCF of Numerators as per given numbers 7580/210, 1713/332 is

GCF of Numerators i.e. for 7580,1713 is 1

LCM of denominators i.e. for 210,332 is 34860.

Thus, GCF of Fractions is 1/34860.Finally, GCF of Fractions for 7580/210, 1713/332 is 1/34860.