Greatest Common Factor of 780/210, 1747/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/210, 1747/561

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 780/210,1747/561

Given fractions are 780/210,1747/561

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 780,1747

Greatest Common Factor of Numerators i.e. GCF of 780,1747 is 1 .

LCM of Denominators means LCM of 210,561 as per the given fractions.

LCM of 210,561 is 39270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,1747

GCF of Fractions 780/210,1747/561 is 1/39270

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

Greatest Common Factor of 780,1747 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,1747 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 1747

List of positive integer factors of 1747 that divides 1747 without a remainder.

1,1747

Greatest Common Factor

We found the factors 780,1747 . The biggest common factor number is the GCF number.
So the greatest common factor 780,1747 is 1.

Lets's calculate LCM of 210,561

3 210, 561
70, 187

∴ So the LCM of the given numbers is 3 x 70 x 187 = 39270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39270

Therefore, the GCF of Fractions 780/210,1747/561 is 1/39270

Least Common Multiple of 210,561 with GCF Formula

Least Common Multiple of 210,561 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 210,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,561) = 3

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

GCF(210,561) x common factors =3 x 1 = 3

LCM(210,561) = ( 210 × 561 ) / 3

LCM(210,561) = 117810 / 3

LCM(210,561) = 39270


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 780/210, 1747/561

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 780/210, 1747/561?

Answer: GCF of Numerators as per given numbers 780/210, 1747/561 is

GCF of Numerators i.e. for 780,1747 is 1

LCM of denominators i.e. for 210,561 is 39270.

Thus, GCF of Fractions is 1/39270.Finally, GCF of Fractions for 780/210, 1747/561 is 1/39270.