Greatest Common Factor of 334/771, 993/274, 464/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 334/771, 993/274, 464/560

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 334/771,993/274,464/560

Given fractions are 334/771,993/274,464/560

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 334,993,464

Greatest Common Factor of Numerators i.e. GCF of 334,993,464 is 1 .

LCM of Denominators means LCM of 771,274,560 as per the given fractions.

LCM of 771,274,560 is 59151120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 334,993,464

GCF of Fractions 334/771,993/274,464/560 is 1/59151120

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

Greatest Common Factor of 334,993,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,993,464 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 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 334,993,464 . The biggest common factor number is the GCF number.
So the greatest common factor 334,993,464 is 1.

Lets's calculate LCM of 771,274,560

2 771, 274, 560
771, 137, 280

∴ So the LCM of the given numbers is 2 x 771 x 137 x 280 = 59151120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59151120

Therefore, the GCF of Fractions 334/771,993/274,464/560 is 1/59151120

Least Common Multiple of 771,274,560 with GCF Formula

Least Common Multiple of 771,274,560 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 771,274,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,274,560) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(771,274,560) x common factors =1 x 2 = 2

LCM(771,274,560) = ( 771 × 274 × 560 ) / 2

LCM(771,274,560) = 118302240 / 2

LCM(771,274,560) = 59151120


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 334/771, 993/274, 464/560

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 334/771, 993/274, 464/560?

Answer: GCF of Numerators as per given numbers 334/771, 993/274, 464/560 is

GCF of Numerators i.e. for 334,993,464 is 1

LCM of denominators i.e. for 771,274,560 is 59151120.

Thus, GCF of Fractions is 1/59151120.Finally, GCF of Fractions for 334/771, 993/274, 464/560 is 1/59151120.