Greatest Common Factor of 149/402, 5414/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 149/402, 5414/177

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 149/402,5414/177

Given fractions are 149/402,5414/177

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 149,5414

Greatest Common Factor of Numerators i.e. GCF of 149,5414 is 1 .

LCM of Denominators means LCM of 402,177 as per the given fractions.

LCM of 402,177 is 23718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 149,5414

GCF of Fractions 149/402,5414/177 is 1/23718

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

Greatest Common Factor of 149,5414 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,5414 By Matching Biggest Common Factor Method

Factors of 149

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

1,149

Factors of 5414

List of positive integer factors of 5414 that divides 5414 without a remainder.

1,2,2707,5414

Greatest Common Factor

We found the factors 149,5414 . The biggest common factor number is the GCF number.
So the greatest common factor 149,5414 is 1.

Lets's calculate LCM of 402,177

3 402, 177
134, 59

∴ So the LCM of the given numbers is 3 x 134 x 59 = 23718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23718

Therefore, the GCF of Fractions 149/402,5414/177 is 1/23718

Least Common Multiple of 402,177 with GCF Formula

Least Common Multiple of 402,177 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 402,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,177) = 3

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

GCF(402,177) x common factors =3 x 1 = 3

LCM(402,177) = ( 402 × 177 ) / 3

LCM(402,177) = 71154 / 3

LCM(402,177) = 23718


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 149/402, 5414/177

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 149/402, 5414/177?

Answer: GCF of Numerators as per given numbers 149/402, 5414/177 is

GCF of Numerators i.e. for 149,5414 is 1

LCM of denominators i.e. for 402,177 is 23718.

Thus, GCF of Fractions is 1/23718.Finally, GCF of Fractions for 149/402, 5414/177 is 1/23718.