Greatest Common Factor of 549/399, 796/123, 121/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 549/399, 796/123, 121/579

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 549/399,796/123,121/579

Given fractions are 549/399,796/123,121/579

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 549,796,121

Greatest Common Factor of Numerators i.e. GCF of 549,796,121 is 1 .

LCM of Denominators means LCM of 399,123,579 as per the given fractions.

LCM of 399,123,579 is 3157287 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 549,796,121

GCF of Fractions 549/399,796/123,121/579 is 1/3157287

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

Greatest Common Factor of 549,796,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,796,121 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 549,796,121 . The biggest common factor number is the GCF number.
So the greatest common factor 549,796,121 is 1.

Lets's calculate LCM of 399,123,579

3 399, 123, 579
133, 41, 193

∴ So the LCM of the given numbers is 3 x 133 x 41 x 193 = 3157287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3157287

Therefore, the GCF of Fractions 549/399,796/123,121/579 is 1/3157287

Least Common Multiple of 399,123,579 with GCF Formula

Least Common Multiple of 399,123,579 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 399,123,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,123,579) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(399,123,579) x common factors =3 x 3 = 9

LCM(399,123,579) = ( 399 × 123 × 579 ) / 9

LCM(399,123,579) = 28415583 / 9

LCM(399,123,579) = 3157287


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 549/399, 796/123, 121/579

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 549/399, 796/123, 121/579?

Answer: GCF of Numerators as per given numbers 549/399, 796/123, 121/579 is

GCF of Numerators i.e. for 549,796,121 is 1

LCM of denominators i.e. for 399,123,579 is 3157287.

Thus, GCF of Fractions is 1/3157287.Finally, GCF of Fractions for 549/399, 796/123, 121/579 is 1/3157287.