Greatest Common Factor of 264/38, 663/16, 377/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 264/38, 663/16, 377/345

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 264/38,663/16,377/345

Given fractions are 264/38,663/16,377/345

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 264,663,377

Greatest Common Factor of Numerators i.e. GCF of 264,663,377 is 1 .

LCM of Denominators means LCM of 38,16,345 as per the given fractions.

LCM of 38,16,345 is 104880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 264,663,377

GCF of Fractions 264/38,663/16,377/345 is 1/104880

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

Greatest Common Factor of 264,663,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,663,377 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 264,663,377 . The biggest common factor number is the GCF number.
So the greatest common factor 264,663,377 is 1.

Lets's calculate LCM of 38,16,345

2 38, 16, 345
19, 8, 345

∴ So the LCM of the given numbers is 2 x 19 x 8 x 345 = 104880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104880

Therefore, the GCF of Fractions 264/38,663/16,377/345 is 1/104880

Least Common Multiple of 38,16,345 with GCF Formula

Least Common Multiple of 38,16,345 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 38,16,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,16,345) = 1

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

GCF(38,16,345) x common factors =1 x 2 = 2

LCM(38,16,345) = ( 38 × 16 × 345 ) / 2

LCM(38,16,345) = 209760 / 2

LCM(38,16,345) = 104880


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 264/38, 663/16, 377/345

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 264/38, 663/16, 377/345?

Answer: GCF of Numerators as per given numbers 264/38, 663/16, 377/345 is

GCF of Numerators i.e. for 264,663,377 is 1

LCM of denominators i.e. for 38,16,345 is 104880.

Thus, GCF of Fractions is 1/104880.Finally, GCF of Fractions for 264/38, 663/16, 377/345 is 1/104880.