Greatest Common Factor of 1584/659, 8970/8585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1584/659, 8970/8585

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 1584/659,8970/8585

Given fractions are 1584/659,8970/8585

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 1584,8970

Greatest Common Factor of Numerators i.e. GCF of 1584,8970 is 6 .

LCM of Denominators means LCM of 659,8585 as per the given fractions.

LCM of 659,8585 is 5657515 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1584,8970

GCF of Fractions 1584/659,8970/8585 is 6/5657515

2 1584, 8970
3 792, 4485
264, 1495

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1584,8970 By Matching Biggest Common Factor Method

Greatest Common Factor of 1584,8970 By Matching Biggest Common Factor Method

Factors of 1584

List of positive integer factors of 1584 that divides 1584 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584

Factors of 8970

List of positive integer factors of 8970 that divides 8970 without a remainder.

1,2,3,5,6,10,13,15,23,26,30,39,46,65,69,78,115,130,138,195,230,299,345,390,598,690,897,1495,1794,2990,4485,8970

Greatest Common Factor

We found the factors 1584,8970 . The biggest common factor number is the GCF number.
So the greatest common factor 1584,8970 is 6.

Lets's calculate LCM of 659,8585

Given numbers has no common factors except 1. So, there LCM is their product i.e 5657515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5657515

Therefore, the GCF of Fractions 1584/659,8970/8585 is 6/5657515

Least Common Multiple of 659,8585 with GCF Formula

Least Common Multiple of 659,8585 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 659,8585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,8585) = 1

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

GCF(659,8585) x common factors =1 x 1 = 1

LCM(659,8585) = ( 659 × 8585 ) / 1

LCM(659,8585) = 5657515 / 1

LCM(659,8585) = 5657515


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 1584/659, 8970/8585

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 1584/659, 8970/8585?

Answer: GCF of Numerators as per given numbers 1584/659, 8970/8585 is

GCF of Numerators i.e. for 1584,8970 is 6

LCM of denominators i.e. for 659,8585 is 5657515.

Thus, GCF of Fractions is 6/5657515.Finally, GCF of Fractions for 1584/659, 8970/8585 is 6/5657515.