Greatest Common Factor of 381/546, 6814/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 381/546, 6814/516

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 381/546,6814/516

Given fractions are 381/546,6814/516

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 381,6814

Greatest Common Factor of Numerators i.e. GCF of 381,6814 is 1 .

LCM of Denominators means LCM of 546,516 as per the given fractions.

LCM of 546,516 is 46956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 381,6814

GCF of Fractions 381/546,6814/516 is 1/46956

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

Greatest Common Factor of 381,6814 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,6814 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 6814

List of positive integer factors of 6814 that divides 6814 without a remainder.

1,2,3407,6814

Greatest Common Factor

We found the factors 381,6814 . The biggest common factor number is the GCF number.
So the greatest common factor 381,6814 is 1.

Lets's calculate LCM of 546,516

2 546, 516
3 273, 258
91, 86

∴ So the LCM of the given numbers is 2 x 3 x 91 x 86 = 46956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46956

Therefore, the GCF of Fractions 381/546,6814/516 is 1/46956

Least Common Multiple of 546,516 with GCF Formula

Least Common Multiple of 546,516 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 546,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,516) = 6

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

GCF(546,516) x common factors =6 x 1 = 6

LCM(546,516) = ( 546 × 516 ) / 6

LCM(546,516) = 281736 / 6

LCM(546,516) = 46956


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 381/546, 6814/516

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 381/546, 6814/516?

Answer: GCF of Numerators as per given numbers 381/546, 6814/516 is

GCF of Numerators i.e. for 381,6814 is 1

LCM of denominators i.e. for 546,516 is 46956.

Thus, GCF of Fractions is 1/46956.Finally, GCF of Fractions for 381/546, 6814/516 is 1/46956.