Greatest Common Factor of 6274/59, 4021/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6274/59, 4021/307

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 6274/59,4021/307

Given fractions are 6274/59,4021/307

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 6274,4021

Greatest Common Factor of Numerators i.e. GCF of 6274,4021 is 1 .

LCM of Denominators means LCM of 59,307 as per the given fractions.

LCM of 59,307 is 18113 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6274,4021

GCF of Fractions 6274/59,4021/307 is 1/18113

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

Greatest Common Factor of 6274,4021 By Matching Biggest Common Factor Method

Greatest Common Factor of 6274,4021 By Matching Biggest Common Factor Method

Factors of 6274

List of positive integer factors of 6274 that divides 6274 without a remainder.

1,2,3137,6274

Factors of 4021

List of positive integer factors of 4021 that divides 4021 without a remainder.

1,4021

Greatest Common Factor

We found the factors 6274,4021 . The biggest common factor number is the GCF number.
So the greatest common factor 6274,4021 is 1.

Lets's calculate LCM of 59,307

Given numbers has no common factors except 1. So, there LCM is their product i.e 18113

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18113

Therefore, the GCF of Fractions 6274/59,4021/307 is 1/18113

Least Common Multiple of 59,307 with GCF Formula

Least Common Multiple of 59,307 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 59,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,307) = 1

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

GCF(59,307) x common factors =1 x 1 = 1

LCM(59,307) = ( 59 × 307 ) / 1

LCM(59,307) = 18113 / 1

LCM(59,307) = 18113


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 6274/59, 4021/307

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 6274/59, 4021/307?

Answer: GCF of Numerators as per given numbers 6274/59, 4021/307 is

GCF of Numerators i.e. for 6274,4021 is 1

LCM of denominators i.e. for 59,307 is 18113.

Thus, GCF of Fractions is 1/18113.Finally, GCF of Fractions for 6274/59, 4021/307 is 1/18113.