Greatest Common Factor of 780/61, 697/8759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/61, 697/8759

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 780/61,697/8759

Given fractions are 780/61,697/8759

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 780,697

Greatest Common Factor of Numerators i.e. GCF of 780,697 is 1 .

LCM of Denominators means LCM of 61,8759 as per the given fractions.

LCM of 61,8759 is 534299 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,697

GCF of Fractions 780/61,697/8759 is 1/534299

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

Greatest Common Factor of 780,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,697 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 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 780,697 . The biggest common factor number is the GCF number.
So the greatest common factor 780,697 is 1.

Lets's calculate LCM of 61,8759

Given numbers has no common factors except 1. So, there LCM is their product i.e 534299

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/534299

Therefore, the GCF of Fractions 780/61,697/8759 is 1/534299

Least Common Multiple of 61,8759 with GCF Formula

Least Common Multiple of 61,8759 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 61,8759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,8759) = 1

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

GCF(61,8759) x common factors =1 x 1 = 1

LCM(61,8759) = ( 61 × 8759 ) / 1

LCM(61,8759) = 534299 / 1

LCM(61,8759) = 534299


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 780/61, 697/8759

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 780/61, 697/8759?

Answer: GCF of Numerators as per given numbers 780/61, 697/8759 is

GCF of Numerators i.e. for 780,697 is 1

LCM of denominators i.e. for 61,8759 is 534299.

Thus, GCF of Fractions is 1/534299.Finally, GCF of Fractions for 780/61, 697/8759 is 1/534299.