Greatest Common Factor of 611/39, 919/14, 759/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 611/39, 919/14, 759/460

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 611/39,919/14,759/460

Given fractions are 611/39,919/14,759/460

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 611,919,759

Greatest Common Factor of Numerators i.e. GCF of 611,919,759 is 1 .

LCM of Denominators means LCM of 39,14,460 as per the given fractions.

LCM of 39,14,460 is 125580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 611,919,759

GCF of Fractions 611/39,919/14,759/460 is 1/125580

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

Greatest Common Factor of 611,919,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,919,759 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 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 611,919,759 . The biggest common factor number is the GCF number.
So the greatest common factor 611,919,759 is 1.

Lets's calculate LCM of 39,14,460

2 39, 14, 460
39, 7, 230

∴ So the LCM of the given numbers is 2 x 39 x 7 x 230 = 125580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125580

Therefore, the GCF of Fractions 611/39,919/14,759/460 is 1/125580

Least Common Multiple of 39,14,460 with GCF Formula

Least Common Multiple of 39,14,460 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 39,14,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,14,460) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(39,14,460) x common factors =1 x 2 = 2

LCM(39,14,460) = ( 39 × 14 × 460 ) / 2

LCM(39,14,460) = 251160 / 2

LCM(39,14,460) = 125580


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 611/39, 919/14, 759/460

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 611/39, 919/14, 759/460?

Answer: GCF of Numerators as per given numbers 611/39, 919/14, 759/460 is

GCF of Numerators i.e. for 611,919,759 is 1

LCM of denominators i.e. for 39,14,460 is 125580.

Thus, GCF of Fractions is 1/125580.Finally, GCF of Fractions for 611/39, 919/14, 759/460 is 1/125580.