Greatest Common Factor of 4581/693, 8774/9197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4581/693, 8774/9197

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 4581/693,8774/9197

Given fractions are 4581/693,8774/9197

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 4581,8774

Greatest Common Factor of Numerators i.e. GCF of 4581,8774 is 1 .

LCM of Denominators means LCM of 693,9197 as per the given fractions.

LCM of 693,9197 is 6373521 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4581,8774

GCF of Fractions 4581/693,8774/9197 is 1/6373521

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

Greatest Common Factor of 4581,8774 By Matching Biggest Common Factor Method

Greatest Common Factor of 4581,8774 By Matching Biggest Common Factor Method

Factors of 4581

List of positive integer factors of 4581 that divides 4581 without a remainder.

1,3,9,509,1527,4581

Factors of 8774

List of positive integer factors of 8774 that divides 8774 without a remainder.

1,2,41,82,107,214,4387,8774

Greatest Common Factor

We found the factors 4581,8774 . The biggest common factor number is the GCF number.
So the greatest common factor 4581,8774 is 1.


Lets's calculate LCM of 693,9197

Given numbers has no common factors except 1. So, there LCM is their product i.e 6373521

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6373521

Therefore, the GCF of Fractions 4581/693,8774/9197 is 1/6373521

Least Common Multiple of 693,9197 with GCF Formula

Least Common Multiple of 693,9197 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 693,9197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,9197) = 1

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

GCF(693,9197) x common factors =1 x 1 = 1

LCM(693,9197) = ( 693 × 9197 ) / 1

LCM(693,9197) = 6373521 / 1

LCM(693,9197) = 6373521


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4581/693, 8774/9197

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 4581/693, 8774/9197?

Answer: GCF of Numerators as per given numbers 4581/693, 8774/9197 is

GCF of Numerators i.e. for 4581,8774 is 1

LCM of denominators i.e. for 693,9197 is 6373521.

Thus, GCF of Fractions is 1/6373521.Finally, GCF of Fractions for 4581/693, 8774/9197 is 1/6373521.