Greatest Common Factor of 680/787, 526/927, 444/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 680/787, 526/927, 444/411

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 680/787,526/927,444/411

Given fractions are 680/787,526/927,444/411

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 680,526,444

Greatest Common Factor of Numerators i.e. GCF of 680,526,444 is 2 .

LCM of Denominators means LCM of 787,927,411 as per the given fractions.

LCM of 787,927,411 is 99948213 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 680,526,444

GCF of Fractions 680/787,526/927,444/411 is 2/99948213

2 680, 526, 444
340, 263, 222

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 680,526,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,526,444 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 680,526,444 . The biggest common factor number is the GCF number.
So the greatest common factor 680,526,444 is 2.

Lets's calculate LCM of 787,927,411

3 787, 927, 411
787, 309, 137

∴ So the LCM of the given numbers is 3 x 787 x 309 x 137 = 99948213

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/99948213

Therefore, the GCF of Fractions 680/787,526/927,444/411 is 2/99948213

Least Common Multiple of 787,927,411 with GCF Formula

Least Common Multiple of 787,927,411 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 787,927,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,927,411) = 1

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

GCF(787,927,411) x common factors =1 x 3 = 3

LCM(787,927,411) = ( 787 × 927 × 411 ) / 3

LCM(787,927,411) = 299844639 / 3

LCM(787,927,411) = 99948213


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 680/787, 526/927, 444/411

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 680/787, 526/927, 444/411?

Answer: GCF of Numerators as per given numbers 680/787, 526/927, 444/411 is

GCF of Numerators i.e. for 680,526,444 is 2

LCM of denominators i.e. for 787,927,411 is 99948213.

Thus, GCF of Fractions is 2/99948213.Finally, GCF of Fractions for 680/787, 526/927, 444/411 is 2/99948213.