Greatest Common Factor of 148/256, 7667/9003

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 148/256, 7667/9003

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 148/256,7667/9003

Given fractions are 148/256,7667/9003

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 148,7667

Greatest Common Factor of Numerators i.e. GCF of 148,7667 is 1 .

LCM of Denominators means LCM of 256,9003 as per the given fractions.

LCM of 256,9003 is 2304768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 148,7667

GCF of Fractions 148/256,7667/9003 is 1/2304768

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

Greatest Common Factor of 148,7667 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,7667 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 7667

List of positive integer factors of 7667 that divides 7667 without a remainder.

1,11,17,41,187,451,697,7667

Greatest Common Factor

We found the factors 148,7667 . The biggest common factor number is the GCF number.
So the greatest common factor 148,7667 is 1.

Lets's calculate LCM of 256,9003

Given numbers has no common factors except 1. So, there LCM is their product i.e 2304768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2304768

Therefore, the GCF of Fractions 148/256,7667/9003 is 1/2304768

Least Common Multiple of 256,9003 with GCF Formula

Least Common Multiple of 256,9003 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 256,9003 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,9003) = 1

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

GCF(256,9003) x common factors =1 x 1 = 1

LCM(256,9003) = ( 256 × 9003 ) / 1

LCM(256,9003) = 2304768 / 1

LCM(256,9003) = 2304768


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 148/256, 7667/9003

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 148/256, 7667/9003?

Answer: GCF of Numerators as per given numbers 148/256, 7667/9003 is

GCF of Numerators i.e. for 148,7667 is 1

LCM of denominators i.e. for 256,9003 is 2304768.

Thus, GCF of Fractions is 1/2304768.Finally, GCF of Fractions for 148/256, 7667/9003 is 1/2304768.