Greatest Common Factor of 8649/98, 3580/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8649/98, 3580/900

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 8649/98,3580/900

Given fractions are 8649/98,3580/900

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 8649,3580

Greatest Common Factor of Numerators i.e. GCF of 8649,3580 is 1 .

LCM of Denominators means LCM of 98,900 as per the given fractions.

LCM of 98,900 is 44100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8649,3580

GCF of Fractions 8649/98,3580/900 is 1/44100

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

Greatest Common Factor of 8649,3580 By Matching Biggest Common Factor Method

Greatest Common Factor of 8649,3580 By Matching Biggest Common Factor Method

Factors of 8649

List of positive integer factors of 8649 that divides 8649 without a remainder.

1,3,9,31,93,279,961,2883,8649

Factors of 3580

List of positive integer factors of 3580 that divides 3580 without a remainder.

1,2,4,5,10,20,179,358,716,895,1790,3580

Greatest Common Factor

We found the factors 8649,3580 . The biggest common factor number is the GCF number.
So the greatest common factor 8649,3580 is 1.

Lets's calculate LCM of 98,900

2 98, 900
49, 450

∴ So the LCM of the given numbers is 2 x 49 x 450 = 44100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44100

Therefore, the GCF of Fractions 8649/98,3580/900 is 1/44100

Least Common Multiple of 98,900 with GCF Formula

Least Common Multiple of 98,900 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 98,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,900) = 2

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

GCF(98,900) x common factors =2 x 1 = 2

LCM(98,900) = ( 98 × 900 ) / 2

LCM(98,900) = 88200 / 2

LCM(98,900) = 44100


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 8649/98, 3580/900

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 8649/98, 3580/900?

Answer: GCF of Numerators as per given numbers 8649/98, 3580/900 is

GCF of Numerators i.e. for 8649,3580 is 1

LCM of denominators i.e. for 98,900 is 44100.

Thus, GCF of Fractions is 1/44100.Finally, GCF of Fractions for 8649/98, 3580/900 is 1/44100.