Greatest Common Factor of 611/82, 390/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 611/82, 390/763

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 611/82,390/763

Given fractions are 611/82,390/763

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 611,390

Greatest Common Factor of Numerators i.e. GCF of 611,390 is 13 .

LCM of Denominators means LCM of 82,763 as per the given fractions.

LCM of 82,763 is 62566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 611,390

GCF of Fractions 611/82,390/763 is 13/62566

13 611, 390
47, 30

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 611,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,390 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 611,390 . The biggest common factor number is the GCF number.
So the greatest common factor 611,390 is 13.

Lets's calculate LCM of 82,763

Given numbers has no common factors except 1. So, there LCM is their product i.e 62566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/62566

Therefore, the GCF of Fractions 611/82,390/763 is 13/62566

Least Common Multiple of 82,763 with GCF Formula

Least Common Multiple of 82,763 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 82,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,763) = 1

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

GCF(82,763) x common factors =1 x 1 = 1

LCM(82,763) = ( 82 × 763 ) / 1

LCM(82,763) = 62566 / 1

LCM(82,763) = 62566


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 611/82, 390/763

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 611/82, 390/763?

Answer: GCF of Numerators as per given numbers 611/82, 390/763 is

GCF of Numerators i.e. for 611,390 is 13

LCM of denominators i.e. for 82,763 is 62566.

Thus, GCF of Fractions is 13/62566.Finally, GCF of Fractions for 611/82, 390/763 is 13/62566.