Greatest Common Factor of 677/780, 616/744, 751/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 677/780, 616/744, 751/994

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 677/780,616/744,751/994

Given fractions are 677/780,616/744,751/994

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 677,616,751

Greatest Common Factor of Numerators i.e. GCF of 677,616,751 is 1 .

LCM of Denominators means LCM of 780,744,994 as per the given fractions.

LCM of 780,744,994 is 24034920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 677,616,751

GCF of Fractions 677/780,616/744,751/994 is 1/24034920

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

Greatest Common Factor of 677,616,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,616,751 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 677,616,751 . The biggest common factor number is the GCF number.
So the greatest common factor 677,616,751 is 1.

Lets's calculate LCM of 780,744,994

2 780, 744, 994
2 390, 372, 497
3 195, 186, 497
65, 62, 497

∴ So the LCM of the given numbers is 2 x 2 x 3 x 65 x 62 x 497 = 24034920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24034920

Therefore, the GCF of Fractions 677/780,616/744,751/994 is 1/24034920

Least Common Multiple of 780,744,994 with GCF Formula

Least Common Multiple of 780,744,994 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 780,744,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,744,994) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(780,744,994) x common factors =2 x 12 = 24

LCM(780,744,994) = ( 780 × 744 × 994 ) / 24

LCM(780,744,994) = 576838080 / 24

LCM(780,744,994) = 24034920


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 677/780, 616/744, 751/994

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 677/780, 616/744, 751/994?

Answer: GCF of Numerators as per given numbers 677/780, 616/744, 751/994 is

GCF of Numerators i.e. for 677,616,751 is 1

LCM of denominators i.e. for 780,744,994 is 24034920.

Thus, GCF of Fractions is 1/24034920.Finally, GCF of Fractions for 677/780, 616/744, 751/994 is 1/24034920.