Greatest Common Factor of 5604/31, 8466/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5604/31, 8466/244

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 5604/31,8466/244

Given fractions are 5604/31,8466/244

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 5604,8466

Greatest Common Factor of Numerators i.e. GCF of 5604,8466 is 6 .

LCM of Denominators means LCM of 31,244 as per the given fractions.

LCM of 31,244 is 7564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5604,8466

GCF of Fractions 5604/31,8466/244 is 6/7564

2 5604, 8466
3 2802, 4233
934, 1411

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

Greatest Common Factor of 5604,8466 By Matching Biggest Common Factor Method

Greatest Common Factor of 5604,8466 By Matching Biggest Common Factor Method

Factors of 5604

List of positive integer factors of 5604 that divides 5604 without a remainder.

1,2,3,4,6,12,467,934,1401,1868,2802,5604

Factors of 8466

List of positive integer factors of 8466 that divides 8466 without a remainder.

1,2,3,6,17,34,51,83,102,166,249,498,1411,2822,4233,8466

Greatest Common Factor

We found the factors 5604,8466 . The biggest common factor number is the GCF number.
So the greatest common factor 5604,8466 is 6.

Lets's calculate LCM of 31,244

Given numbers has no common factors except 1. So, there LCM is their product i.e 7564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/7564

Therefore, the GCF of Fractions 5604/31,8466/244 is 6/7564

Least Common Multiple of 31,244 with GCF Formula

Least Common Multiple of 31,244 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 31,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,244) = 1

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

GCF(31,244) x common factors =1 x 1 = 1

LCM(31,244) = ( 31 × 244 ) / 1

LCM(31,244) = 7564 / 1

LCM(31,244) = 7564


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 5604/31, 8466/244

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 5604/31, 8466/244?

Answer: GCF of Numerators as per given numbers 5604/31, 8466/244 is

GCF of Numerators i.e. for 5604,8466 is 6

LCM of denominators i.e. for 31,244 is 7564.

Thus, GCF of Fractions is 6/7564.Finally, GCF of Fractions for 5604/31, 8466/244 is 6/7564.