Greatest Common Factor of 151/78, 148/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 151/78, 148/640

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 151/78,148/640

Given fractions are 151/78,148/640

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 151,148

Greatest Common Factor of Numerators i.e. GCF of 151,148 is 1 .

LCM of Denominators means LCM of 78,640 as per the given fractions.

LCM of 78,640 is 24960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 151,148

GCF of Fractions 151/78,148/640 is 1/24960

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

Greatest Common Factor of 151,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,148 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 148

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

1,2,4,37,74,148

Greatest Common Factor

We found the factors 151,148 . The biggest common factor number is the GCF number.
So the greatest common factor 151,148 is 1.

Lets's calculate LCM of 78,640

2 78, 640
39, 320

∴ So the LCM of the given numbers is 2 x 39 x 320 = 24960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24960

Therefore, the GCF of Fractions 151/78,148/640 is 1/24960

Least Common Multiple of 78,640 with GCF Formula

Least Common Multiple of 78,640 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 78,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,640) = 2

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

GCF(78,640) x common factors =2 x 1 = 2

LCM(78,640) = ( 78 × 640 ) / 2

LCM(78,640) = 49920 / 2

LCM(78,640) = 24960


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 151/78, 148/640

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 151/78, 148/640?

Answer: GCF of Numerators as per given numbers 151/78, 148/640 is

GCF of Numerators i.e. for 151,148 is 1

LCM of denominators i.e. for 78,640 is 24960.

Thus, GCF of Fractions is 1/24960.Finally, GCF of Fractions for 151/78, 148/640 is 1/24960.