Greatest Common Factor of 782/45, 285/82, 519/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 782/45, 285/82, 519/787

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 782/45,285/82,519/787

Given fractions are 782/45,285/82,519/787

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 782,285,519

Greatest Common Factor of Numerators i.e. GCF of 782,285,519 is 1 .

LCM of Denominators means LCM of 45,82,787 as per the given fractions.

LCM of 45,82,787 is 2904030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 782,285,519

GCF of Fractions 782/45,285/82,519/787 is 1/2904030

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

Greatest Common Factor of 782,285,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,285,519 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 782,285,519 . The biggest common factor number is the GCF number.
So the greatest common factor 782,285,519 is 1.

Lets's calculate LCM of 45,82,787

Given numbers has no common factors except 1. So, there LCM is their product i.e 2904030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2904030

Therefore, the GCF of Fractions 782/45,285/82,519/787 is 1/2904030

Least Common Multiple of 45,82,787 with GCF Formula

Least Common Multiple of 45,82,787 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 45,82,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,82,787) = 1

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

GCF(45,82,787) x common factors =1 x 1 = 1

LCM(45,82,787) = ( 45 × 82 × 787 ) / 1

LCM(45,82,787) = 2904030 / 1

LCM(45,82,787) = 2904030


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 782/45, 285/82, 519/787

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 782/45, 285/82, 519/787?

Answer: GCF of Numerators as per given numbers 782/45, 285/82, 519/787 is

GCF of Numerators i.e. for 782,285,519 is 1

LCM of denominators i.e. for 45,82,787 is 2904030.

Thus, GCF of Fractions is 1/2904030.Finally, GCF of Fractions for 782/45, 285/82, 519/787 is 1/2904030.