Greatest Common Factor of 334/772, 987/384, 619/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 334/772, 987/384, 619/610

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 334/772,987/384,619/610

Given fractions are 334/772,987/384,619/610

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 334,987,619

Greatest Common Factor of Numerators i.e. GCF of 334,987,619 is 1 .

LCM of Denominators means LCM of 772,384,610 as per the given fractions.

LCM of 772,384,610 is 22604160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 334,987,619

GCF of Fractions 334/772,987/384,619/610 is 1/22604160

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

Greatest Common Factor of 334,987,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,987,619 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 334,987,619 . The biggest common factor number is the GCF number.
So the greatest common factor 334,987,619 is 1.

Lets's calculate LCM of 772,384,610

2 772, 384, 610
2 386, 192, 305
193, 96, 305

∴ So the LCM of the given numbers is 2 x 2 x 193 x 96 x 305 = 22604160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22604160

Therefore, the GCF of Fractions 334/772,987/384,619/610 is 1/22604160

Least Common Multiple of 772,384,610 with GCF Formula

Least Common Multiple of 772,384,610 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 772,384,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,384,610) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(772,384,610) x common factors =2 x 4 = 8

LCM(772,384,610) = ( 772 × 384 × 610 ) / 8

LCM(772,384,610) = 180833280 / 8

LCM(772,384,610) = 22604160


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 334/772, 987/384, 619/610

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 334/772, 987/384, 619/610?

Answer: GCF of Numerators as per given numbers 334/772, 987/384, 619/610 is

GCF of Numerators i.e. for 334,987,619 is 1

LCM of denominators i.e. for 772,384,610 is 22604160.

Thus, GCF of Fractions is 1/22604160.Finally, GCF of Fractions for 334/772, 987/384, 619/610 is 1/22604160.