Greatest Common Factor of 7081/24, 3521/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7081/24, 3521/977

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 7081/24,3521/977

Given fractions are 7081/24,3521/977

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 7081,3521

Greatest Common Factor of Numerators i.e. GCF of 7081,3521 is 1 .

LCM of Denominators means LCM of 24,977 as per the given fractions.

LCM of 24,977 is 23448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7081,3521

GCF of Fractions 7081/24,3521/977 is 1/23448

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

Greatest Common Factor of 7081,3521 By Matching Biggest Common Factor Method

Greatest Common Factor of 7081,3521 By Matching Biggest Common Factor Method

Factors of 7081

List of positive integer factors of 7081 that divides 7081 without a remainder.

1,73,97,7081

Factors of 3521

List of positive integer factors of 3521 that divides 3521 without a remainder.

1,7,503,3521

Greatest Common Factor

We found the factors 7081,3521 . The biggest common factor number is the GCF number.
So the greatest common factor 7081,3521 is 1.

Lets's calculate LCM of 24,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 23448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23448

Therefore, the GCF of Fractions 7081/24,3521/977 is 1/23448

Least Common Multiple of 24,977 with GCF Formula

Least Common Multiple of 24,977 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 24,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,977) = 1

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

GCF(24,977) x common factors =1 x 1 = 1

LCM(24,977) = ( 24 × 977 ) / 1

LCM(24,977) = 23448 / 1

LCM(24,977) = 23448


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 7081/24, 3521/977

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 7081/24, 3521/977?

Answer: GCF of Numerators as per given numbers 7081/24, 3521/977 is

GCF of Numerators i.e. for 7081,3521 is 1

LCM of denominators i.e. for 24,977 is 23448.

Thus, GCF of Fractions is 1/23448.Finally, GCF of Fractions for 7081/24, 3521/977 is 1/23448.