Greatest Common Factor of 674/24, 6042/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 674/24, 6042/221

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 674/24,6042/221

Given fractions are 674/24,6042/221

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 674,6042

Greatest Common Factor of Numerators i.e. GCF of 674,6042 is 2 .

LCM of Denominators means LCM of 24,221 as per the given fractions.

LCM of 24,221 is 5304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 674,6042

GCF of Fractions 674/24,6042/221 is 2/5304

2 674, 6042
337, 3021

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

Greatest Common Factor of 674,6042 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,6042 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 6042

List of positive integer factors of 6042 that divides 6042 without a remainder.

1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042

Greatest Common Factor

We found the factors 674,6042 . The biggest common factor number is the GCF number.
So the greatest common factor 674,6042 is 2.

Lets's calculate LCM of 24,221

Given numbers has no common factors except 1. So, there LCM is their product i.e 5304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5304

Therefore, the GCF of Fractions 674/24,6042/221 is 2/5304

Least Common Multiple of 24,221 with GCF Formula

Least Common Multiple of 24,221 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 24,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,221) = 1

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

GCF(24,221) x common factors =1 x 1 = 1

LCM(24,221) = ( 24 × 221 ) / 1

LCM(24,221) = 5304 / 1

LCM(24,221) = 5304


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 674/24, 6042/221

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 674/24, 6042/221?

Answer: GCF of Numerators as per given numbers 674/24, 6042/221 is

GCF of Numerators i.e. for 674,6042 is 2

LCM of denominators i.e. for 24,221 is 5304.

Thus, GCF of Fractions is 2/5304.Finally, GCF of Fractions for 674/24, 6042/221 is 2/5304.