Greatest Common Factor of 4571/969, 5761/4083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4571/969, 5761/4083

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 4571/969,5761/4083

Given fractions are 4571/969,5761/4083

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 4571,5761

Greatest Common Factor of Numerators i.e. GCF of 4571,5761 is 7 .

LCM of Denominators means LCM of 969,4083 as per the given fractions.

LCM of 969,4083 is 1318809 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4571,5761

GCF of Fractions 4571/969,5761/4083 is 7/1318809

7 4571, 5761
653, 823

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4571,5761 By Matching Biggest Common Factor Method

Greatest Common Factor of 4571,5761 By Matching Biggest Common Factor Method

Factors of 4571

List of positive integer factors of 4571 that divides 4571 without a remainder.

1,7,653,4571

Factors of 5761

List of positive integer factors of 5761 that divides 5761 without a remainder.

1,7,823,5761

Greatest Common Factor

We found the factors 4571,5761 . The biggest common factor number is the GCF number.
So the greatest common factor 4571,5761 is 7.

Lets's calculate LCM of 969,4083

3 969, 4083
323, 1361

∴ So the LCM of the given numbers is 3 x 323 x 1361 = 1318809

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1318809

Therefore, the GCF of Fractions 4571/969,5761/4083 is 7/1318809

Least Common Multiple of 969,4083 with GCF Formula

Least Common Multiple of 969,4083 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 969,4083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,4083) = 3

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

GCF(969,4083) x common factors =3 x 1 = 3

LCM(969,4083) = ( 969 × 4083 ) / 3

LCM(969,4083) = 3956427 / 3

LCM(969,4083) = 1318809


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 4571/969, 5761/4083

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 4571/969, 5761/4083?

Answer: GCF of Numerators as per given numbers 4571/969, 5761/4083 is

GCF of Numerators i.e. for 4571,5761 is 7

LCM of denominators i.e. for 969,4083 is 1318809.

Thus, GCF of Fractions is 7/1318809.Finally, GCF of Fractions for 4571/969, 5761/4083 is 7/1318809.