Greatest Common Factor of 3000/89, 8712/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3000/89, 8712/961

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 3000/89,8712/961

Given fractions are 3000/89,8712/961

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 3000,8712

Greatest Common Factor of Numerators i.e. GCF of 3000,8712 is 24 .

LCM of Denominators means LCM of 89,961 as per the given fractions.

LCM of 89,961 is 85529 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3000,8712

GCF of Fractions 3000/89,8712/961 is 24/85529

2 3000, 8712
2 1500, 4356
2 750, 2178
3 375, 1089
125, 363

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 3000,8712 By Matching Biggest Common Factor Method

Greatest Common Factor of 3000,8712 By Matching Biggest Common Factor Method

Factors of 3000

List of positive integer factors of 3000 that divides 3000 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,125,150,200,250,300,375,500,600,750,1000,1500,3000

Factors of 8712

List of positive integer factors of 8712 that divides 8712 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712

Greatest Common Factor

We found the factors 3000,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 3000,8712 is 24.

Lets's calculate LCM of 89,961

Given numbers has no common factors except 1. So, there LCM is their product i.e 85529

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/85529

Therefore, the GCF of Fractions 3000/89,8712/961 is 24/85529

Least Common Multiple of 89,961 with GCF Formula

Least Common Multiple of 89,961 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 89,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,961) = 1

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

GCF(89,961) x common factors =1 x 1 = 1

LCM(89,961) = ( 89 × 961 ) / 1

LCM(89,961) = 85529 / 1

LCM(89,961) = 85529


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 3000/89, 8712/961

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 3000/89, 8712/961?

Answer: GCF of Numerators as per given numbers 3000/89, 8712/961 is

GCF of Numerators i.e. for 3000,8712 is 24

LCM of denominators i.e. for 89,961 is 85529.

Thus, GCF of Fractions is 24/85529.Finally, GCF of Fractions for 3000/89, 8712/961 is 24/85529.