Greatest Common Factor of 782/17, 477/78, 403/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 782/17, 477/78, 403/393

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 782/17,477/78,403/393

Given fractions are 782/17,477/78,403/393

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 782,477,403

Greatest Common Factor of Numerators i.e. GCF of 782,477,403 is 1 .

LCM of Denominators means LCM of 17,78,393 as per the given fractions.

LCM of 17,78,393 is 173706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 782,477,403

GCF of Fractions 782/17,477/78,403/393 is 1/173706

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

Greatest Common Factor of 782,477,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,477,403 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 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 782,477,403 . The biggest common factor number is the GCF number.
So the greatest common factor 782,477,403 is 1.

Lets's calculate LCM of 17,78,393

3 17, 78, 393
17, 26, 131

∴ So the LCM of the given numbers is 3 x 17 x 26 x 131 = 173706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173706

Therefore, the GCF of Fractions 782/17,477/78,403/393 is 1/173706

Least Common Multiple of 17,78,393 with GCF Formula

Least Common Multiple of 17,78,393 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 17,78,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,78,393) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(17,78,393) x common factors =1 x 3 = 3

LCM(17,78,393) = ( 17 × 78 × 393 ) / 3

LCM(17,78,393) = 521118 / 3

LCM(17,78,393) = 173706


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 782/17, 477/78, 403/393

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 782/17, 477/78, 403/393?

Answer: GCF of Numerators as per given numbers 782/17, 477/78, 403/393 is

GCF of Numerators i.e. for 782,477,403 is 1

LCM of denominators i.e. for 17,78,393 is 173706.

Thus, GCF of Fractions is 1/173706.Finally, GCF of Fractions for 782/17, 477/78, 403/393 is 1/173706.