Greatest Common Factor of 154/302, 476/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 154/302, 476/149

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 154/302,476/149

Given fractions are 154/302,476/149

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 154,476

Greatest Common Factor of Numerators i.e. GCF of 154,476 is 14 .

LCM of Denominators means LCM of 302,149 as per the given fractions.

LCM of 302,149 is 44998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 154,476

GCF of Fractions 154/302,476/149 is 14/44998

2 154, 476
7 77, 238
11, 34

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 154,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,476 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 154,476 . The biggest common factor number is the GCF number.
So the greatest common factor 154,476 is 14.

Lets's calculate LCM of 302,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 44998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/44998

Therefore, the GCF of Fractions 154/302,476/149 is 14/44998

Least Common Multiple of 302,149 with GCF Formula

Least Common Multiple of 302,149 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 302,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,149) = 1

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

GCF(302,149) x common factors =1 x 1 = 1

LCM(302,149) = ( 302 × 149 ) / 1

LCM(302,149) = 44998 / 1

LCM(302,149) = 44998


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 154/302, 476/149

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 154/302, 476/149?

Answer: GCF of Numerators as per given numbers 154/302, 476/149 is

GCF of Numerators i.e. for 154,476 is 14

LCM of denominators i.e. for 302,149 is 44998.

Thus, GCF of Fractions is 14/44998.Finally, GCF of Fractions for 154/302, 476/149 is 14/44998.