Greatest Common Factor of 148/208, 6501/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 148/208, 6501/424

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 148/208,6501/424

Given fractions are 148/208,6501/424

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 148,6501

Greatest Common Factor of Numerators i.e. GCF of 148,6501 is 1 .

LCM of Denominators means LCM of 208,424 as per the given fractions.

LCM of 208,424 is 11024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 148,6501

GCF of Fractions 148/208,6501/424 is 1/11024

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

Greatest Common Factor of 148,6501 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,6501 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 6501

List of positive integer factors of 6501 that divides 6501 without a remainder.

1,3,11,33,197,591,2167,6501

Greatest Common Factor

We found the factors 148,6501 . The biggest common factor number is the GCF number.
So the greatest common factor 148,6501 is 1.

Lets's calculate LCM of 208,424

2 208, 424
2 104, 212
2 52, 106
26, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 26 x 53 = 11024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11024

Therefore, the GCF of Fractions 148/208,6501/424 is 1/11024

Least Common Multiple of 208,424 with GCF Formula

Least Common Multiple of 208,424 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 208,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,424) = 8

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

GCF(208,424) x common factors =8 x 1 = 8

LCM(208,424) = ( 208 × 424 ) / 8

LCM(208,424) = 88192 / 8

LCM(208,424) = 11024


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 148/208, 6501/424

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 148/208, 6501/424?

Answer: GCF of Numerators as per given numbers 148/208, 6501/424 is

GCF of Numerators i.e. for 148,6501 is 1

LCM of denominators i.e. for 208,424 is 11024.

Thus, GCF of Fractions is 1/11024.Finally, GCF of Fractions for 148/208, 6501/424 is 1/11024.