Greatest Common Factor of 139/462, 292/401, 149/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 139/462, 292/401, 149/302

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 139/462,292/401,149/302

Given fractions are 139/462,292/401,149/302

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 139,292,149

Greatest Common Factor of Numerators i.e. GCF of 139,292,149 is 1 .

LCM of Denominators means LCM of 462,401,302 as per the given fractions.

LCM of 462,401,302 is 27974562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 139,292,149

GCF of Fractions 139/462,292/401,149/302 is 1/27974562

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

Greatest Common Factor of 139,292,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,292,149 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 139,292,149 . The biggest common factor number is the GCF number.
So the greatest common factor 139,292,149 is 1.

Lets's calculate LCM of 462,401,302

2 462, 401, 302
231, 401, 151

∴ So the LCM of the given numbers is 2 x 231 x 401 x 151 = 27974562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27974562

Therefore, the GCF of Fractions 139/462,292/401,149/302 is 1/27974562

Least Common Multiple of 462,401,302 with GCF Formula

Least Common Multiple of 462,401,302 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 462,401,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,401,302) = 1

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

GCF(462,401,302) x common factors =1 x 2 = 2

LCM(462,401,302) = ( 462 × 401 × 302 ) / 2

LCM(462,401,302) = 55949124 / 2

LCM(462,401,302) = 27974562


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 139/462, 292/401, 149/302

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 139/462, 292/401, 149/302?

Answer: GCF of Numerators as per given numbers 139/462, 292/401, 149/302 is

GCF of Numerators i.e. for 139,292,149 is 1

LCM of denominators i.e. for 462,401,302 is 27974562.

Thus, GCF of Fractions is 1/27974562.Finally, GCF of Fractions for 139/462, 292/401, 149/302 is 1/27974562.