Greatest Common Factor of 148/506, 9132/3578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 148/506, 9132/3578

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 148/506,9132/3578

Given fractions are 148/506,9132/3578

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 148,9132

Greatest Common Factor of Numerators i.e. GCF of 148,9132 is 4 .

LCM of Denominators means LCM of 506,3578 as per the given fractions.

LCM of 506,3578 is 905234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 148,9132

GCF of Fractions 148/506,9132/3578 is 4/905234

2 148, 9132
2 74, 4566
37, 2283

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 148,9132 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,9132 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 9132

List of positive integer factors of 9132 that divides 9132 without a remainder.

1,2,3,4,6,12,761,1522,2283,3044,4566,9132

Greatest Common Factor

We found the factors 148,9132 . The biggest common factor number is the GCF number.
So the greatest common factor 148,9132 is 4.

Lets's calculate LCM of 506,3578

2 506, 3578
253, 1789

∴ So the LCM of the given numbers is 2 x 253 x 1789 = 905234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/905234

Therefore, the GCF of Fractions 148/506,9132/3578 is 4/905234

Least Common Multiple of 506,3578 with GCF Formula

Least Common Multiple of 506,3578 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 506,3578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,3578) = 2

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

GCF(506,3578) x common factors =2 x 1 = 2

LCM(506,3578) = ( 506 × 3578 ) / 2

LCM(506,3578) = 1810468 / 2

LCM(506,3578) = 905234


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 148/506, 9132/3578

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 148/506, 9132/3578?

Answer: GCF of Numerators as per given numbers 148/506, 9132/3578 is

GCF of Numerators i.e. for 148,9132 is 4

LCM of denominators i.e. for 506,3578 is 905234.

Thus, GCF of Fractions is 4/905234.Finally, GCF of Fractions for 148/506, 9132/3578 is 4/905234.