Greatest Common Factor of 1626/561, 9576/4808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1626/561, 9576/4808

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 1626/561,9576/4808

Given fractions are 1626/561,9576/4808

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 1626,9576

Greatest Common Factor of Numerators i.e. GCF of 1626,9576 is 6 .

LCM of Denominators means LCM of 561,4808 as per the given fractions.

LCM of 561,4808 is 2697288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1626,9576

GCF of Fractions 1626/561,9576/4808 is 6/2697288

2 1626, 9576
3 813, 4788
271, 1596

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

Greatest Common Factor of 1626,9576 By Matching Biggest Common Factor Method

Greatest Common Factor of 1626,9576 By Matching Biggest Common Factor Method

Factors of 1626

List of positive integer factors of 1626 that divides 1626 without a remainder.

1,2,3,6,271,542,813,1626

Factors of 9576

List of positive integer factors of 9576 that divides 9576 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576

Greatest Common Factor

We found the factors 1626,9576 . The biggest common factor number is the GCF number.
So the greatest common factor 1626,9576 is 6.

Lets's calculate LCM of 561,4808

Given numbers has no common factors except 1. So, there LCM is their product i.e 2697288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2697288

Therefore, the GCF of Fractions 1626/561,9576/4808 is 6/2697288

Least Common Multiple of 561,4808 with GCF Formula

Least Common Multiple of 561,4808 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 561,4808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,4808) = 1

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

GCF(561,4808) x common factors =1 x 1 = 1

LCM(561,4808) = ( 561 × 4808 ) / 1

LCM(561,4808) = 2697288 / 1

LCM(561,4808) = 2697288


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 1626/561, 9576/4808

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 1626/561, 9576/4808?

Answer: GCF of Numerators as per given numbers 1626/561, 9576/4808 is

GCF of Numerators i.e. for 1626,9576 is 6

LCM of denominators i.e. for 561,4808 is 2697288.

Thus, GCF of Fractions is 6/2697288.Finally, GCF of Fractions for 1626/561, 9576/4808 is 6/2697288.