Greatest Common Factor of 8604/283, 9880/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8604/283, 9880/973

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 8604/283,9880/973

Given fractions are 8604/283,9880/973

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 8604,9880

Greatest Common Factor of Numerators i.e. GCF of 8604,9880 is 4 .

LCM of Denominators means LCM of 283,973 as per the given fractions.

LCM of 283,973 is 275359 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8604,9880

GCF of Fractions 8604/283,9880/973 is 4/275359

2 8604, 9880
2 4302, 4940
2151, 2470

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8604,9880 By Matching Biggest Common Factor Method

Greatest Common Factor of 8604,9880 By Matching Biggest Common Factor Method

Factors of 8604

List of positive integer factors of 8604 that divides 8604 without a remainder.

1,2,3,4,6,9,12,18,36,239,478,717,956,1434,2151,2868,4302,8604

Factors of 9880

List of positive integer factors of 9880 that divides 9880 without a remainder.

1,2,4,5,8,10,13,19,20,26,38,40,52,65,76,95,104,130,152,190,247,260,380,494,520,760,988,1235,1976,2470,4940,9880

Greatest Common Factor

We found the factors 8604,9880 . The biggest common factor number is the GCF number.
So the greatest common factor 8604,9880 is 4.

Lets's calculate LCM of 283,973

Given numbers has no common factors except 1. So, there LCM is their product i.e 275359

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/275359

Therefore, the GCF of Fractions 8604/283,9880/973 is 4/275359

Least Common Multiple of 283,973 with GCF Formula

Least Common Multiple of 283,973 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 283,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,973) = 1

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

GCF(283,973) x common factors =1 x 1 = 1

LCM(283,973) = ( 283 × 973 ) / 1

LCM(283,973) = 275359 / 1

LCM(283,973) = 275359


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 8604/283, 9880/973

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 8604/283, 9880/973?

Answer: GCF of Numerators as per given numbers 8604/283, 9880/973 is

GCF of Numerators i.e. for 8604,9880 is 4

LCM of denominators i.e. for 283,973 is 275359.

Thus, GCF of Fractions is 4/275359.Finally, GCF of Fractions for 8604/283, 9880/973 is 4/275359.