Greatest Common Factor of 7024/43, 3740/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7024/43, 3740/501

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 7024/43,3740/501

Given fractions are 7024/43,3740/501

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 7024,3740

Greatest Common Factor of Numerators i.e. GCF of 7024,3740 is 4 .

LCM of Denominators means LCM of 43,501 as per the given fractions.

LCM of 43,501 is 21543 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7024,3740

GCF of Fractions 7024/43,3740/501 is 4/21543

2 7024, 3740
2 3512, 1870
1756, 935

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7024,3740 By Matching Biggest Common Factor Method

Greatest Common Factor of 7024,3740 By Matching Biggest Common Factor Method

Factors of 7024

List of positive integer factors of 7024 that divides 7024 without a remainder.

1,2,4,8,16,439,878,1756,3512,7024

Factors of 3740

List of positive integer factors of 3740 that divides 3740 without a remainder.

1,2,4,5,10,11,17,20,22,34,44,55,68,85,110,170,187,220,340,374,748,935,1870,3740

Greatest Common Factor

We found the factors 7024,3740 . The biggest common factor number is the GCF number.
So the greatest common factor 7024,3740 is 4.

Lets's calculate LCM of 43,501

Given numbers has no common factors except 1. So, there LCM is their product i.e 21543

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/21543

Therefore, the GCF of Fractions 7024/43,3740/501 is 4/21543

Least Common Multiple of 43,501 with GCF Formula

Least Common Multiple of 43,501 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 43,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,501) = 1

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

GCF(43,501) x common factors =1 x 1 = 1

LCM(43,501) = ( 43 × 501 ) / 1

LCM(43,501) = 21543 / 1

LCM(43,501) = 21543


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 7024/43, 3740/501

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 7024/43, 3740/501?

Answer: GCF of Numerators as per given numbers 7024/43, 3740/501 is

GCF of Numerators i.e. for 7024,3740 is 4

LCM of denominators i.e. for 43,501 is 21543.

Thus, GCF of Fractions is 4/21543.Finally, GCF of Fractions for 7024/43, 3740/501 is 4/21543.