Greatest Common Factor of 1564/468, 9667/1515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1564/468, 9667/1515

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 1564/468,9667/1515

Given fractions are 1564/468,9667/1515

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 1564,9667

Greatest Common Factor of Numerators i.e. GCF of 1564,9667 is 1 .

LCM of Denominators means LCM of 468,1515 as per the given fractions.

LCM of 468,1515 is 236340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1564,9667

GCF of Fractions 1564/468,9667/1515 is 1/236340

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

Greatest Common Factor of 1564,9667 By Matching Biggest Common Factor Method

Greatest Common Factor of 1564,9667 By Matching Biggest Common Factor Method

Factors of 1564

List of positive integer factors of 1564 that divides 1564 without a remainder.

1,2,4,17,23,34,46,68,92,391,782,1564

Factors of 9667

List of positive integer factors of 9667 that divides 9667 without a remainder.

1,7,1381,9667

Greatest Common Factor

We found the factors 1564,9667 . The biggest common factor number is the GCF number.
So the greatest common factor 1564,9667 is 1.

Lets's calculate LCM of 468,1515

3 468, 1515
156, 505

∴ So the LCM of the given numbers is 3 x 156 x 505 = 236340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236340

Therefore, the GCF of Fractions 1564/468,9667/1515 is 1/236340

Least Common Multiple of 468,1515 with GCF Formula

Least Common Multiple of 468,1515 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 468,1515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,1515) = 3

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

GCF(468,1515) x common factors =3 x 1 = 3

LCM(468,1515) = ( 468 × 1515 ) / 3

LCM(468,1515) = 709020 / 3

LCM(468,1515) = 236340


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 1564/468, 9667/1515

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 1564/468, 9667/1515?

Answer: GCF of Numerators as per given numbers 1564/468, 9667/1515 is

GCF of Numerators i.e. for 1564,9667 is 1

LCM of denominators i.e. for 468,1515 is 236340.

Thus, GCF of Fractions is 1/236340.Finally, GCF of Fractions for 1564/468, 9667/1515 is 1/236340.