Greatest Common Factor of 9569/464, 3060/5693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9569/464, 3060/5693

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 9569/464,3060/5693

Given fractions are 9569/464,3060/5693

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 9569,3060

Greatest Common Factor of Numerators i.e. GCF of 9569,3060 is 1 .

LCM of Denominators means LCM of 464,5693 as per the given fractions.

LCM of 464,5693 is 2641552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9569,3060

GCF of Fractions 9569/464,3060/5693 is 1/2641552

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

Greatest Common Factor of 9569,3060 By Matching Biggest Common Factor Method

Greatest Common Factor of 9569,3060 By Matching Biggest Common Factor Method

Factors of 9569

List of positive integer factors of 9569 that divides 9569 without a remainder.

1,7,1367,9569

Factors of 3060

List of positive integer factors of 3060 that divides 3060 without a remainder.

1,2,3,4,5,6,9,10,12,15,17,18,20,30,34,36,45,51,60,68,85,90,102,153,170,180,204,255,306,340,510,612,765,1020,1530,3060

Greatest Common Factor

We found the factors 9569,3060 . The biggest common factor number is the GCF number.
So the greatest common factor 9569,3060 is 1.

Lets's calculate LCM of 464,5693

Given numbers has no common factors except 1. So, there LCM is their product i.e 2641552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2641552

Therefore, the GCF of Fractions 9569/464,3060/5693 is 1/2641552

Least Common Multiple of 464,5693 with GCF Formula

Least Common Multiple of 464,5693 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 464,5693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,5693) = 1

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

GCF(464,5693) x common factors =1 x 1 = 1

LCM(464,5693) = ( 464 × 5693 ) / 1

LCM(464,5693) = 2641552 / 1

LCM(464,5693) = 2641552


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 9569/464, 3060/5693

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 9569/464, 3060/5693?

Answer: GCF of Numerators as per given numbers 9569/464, 3060/5693 is

GCF of Numerators i.e. for 9569,3060 is 1

LCM of denominators i.e. for 464,5693 is 2641552.

Thus, GCF of Fractions is 1/2641552.Finally, GCF of Fractions for 9569/464, 3060/5693 is 1/2641552.