Greatest Common Factor of 377/65, 214/38, 243/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 377/65, 214/38, 243/547

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 377/65,214/38,243/547

Given fractions are 377/65,214/38,243/547

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 377,214,243

Greatest Common Factor of Numerators i.e. GCF of 377,214,243 is 1 .

LCM of Denominators means LCM of 65,38,547 as per the given fractions.

LCM of 65,38,547 is 1351090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 377,214,243

GCF of Fractions 377/65,214/38,243/547 is 1/1351090

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

Greatest Common Factor of 377,214,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,214,243 By Matching Biggest Common Factor Method

Factors of 377

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

1,13,29,377

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 377,214,243 . The biggest common factor number is the GCF number.
So the greatest common factor 377,214,243 is 1.

Lets's calculate LCM of 65,38,547

Given numbers has no common factors except 1. So, there LCM is their product i.e 1351090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1351090

Therefore, the GCF of Fractions 377/65,214/38,243/547 is 1/1351090

Least Common Multiple of 65,38,547 with GCF Formula

Least Common Multiple of 65,38,547 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 65,38,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,38,547) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(65,38,547) x common factors =1 x 1 = 1

LCM(65,38,547) = ( 65 × 38 × 547 ) / 1

LCM(65,38,547) = 1351090 / 1

LCM(65,38,547) = 1351090


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 377/65, 214/38, 243/547

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 377/65, 214/38, 243/547?

Answer: GCF of Numerators as per given numbers 377/65, 214/38, 243/547 is

GCF of Numerators i.e. for 377,214,243 is 1

LCM of denominators i.e. for 65,38,547 is 1351090.

Thus, GCF of Fractions is 1/1351090.Finally, GCF of Fractions for 377/65, 214/38, 243/547 is 1/1351090.