Greatest Common Factor of 416/779, 633/247, 428/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 416/779, 633/247, 428/399

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 416/779,633/247,428/399

Given fractions are 416/779,633/247,428/399

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 416,633,428

Greatest Common Factor of Numerators i.e. GCF of 416,633,428 is 1 .

LCM of Denominators means LCM of 779,247,399 as per the given fractions.

LCM of 779,247,399 is 212667 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 416,633,428

GCF of Fractions 416/779,633/247,428/399 is 1/212667

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

Greatest Common Factor of 416,633,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,633,428 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 416,633,428 . The biggest common factor number is the GCF number.
So the greatest common factor 416,633,428 is 1.

Lets's calculate LCM of 779,247,399

19 779, 247, 399
41, 13, 21

∴ So the LCM of the given numbers is 19 x 41 x 13 x 21 = 212667

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212667

Therefore, the GCF of Fractions 416/779,633/247,428/399 is 1/212667

Least Common Multiple of 779,247,399 with GCF Formula

Least Common Multiple of 779,247,399 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 779,247,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,247,399) = 19

common factors(in case of two or more numbers have common factors) = 19

GCF(779,247,399) x common factors =19 x 19 = 361

LCM(779,247,399) = ( 779 × 247 × 399 ) / 361

LCM(779,247,399) = 76772787 / 361

LCM(779,247,399) = 212667


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 416/779, 633/247, 428/399

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 416/779, 633/247, 428/399?

Answer: GCF of Numerators as per given numbers 416/779, 633/247, 428/399 is

GCF of Numerators i.e. for 416,633,428 is 1

LCM of denominators i.e. for 779,247,399 is 212667.

Thus, GCF of Fractions is 1/212667.Finally, GCF of Fractions for 416/779, 633/247, 428/399 is 1/212667.