Greatest Common Factor of 5621/437, 5610/9671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5621/437, 5610/9671

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 5621/437,5610/9671

Given fractions are 5621/437,5610/9671

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 5621,5610

Greatest Common Factor of Numerators i.e. GCF of 5621,5610 is 11 .

LCM of Denominators means LCM of 437,9671 as per the given fractions.

LCM of 437,9671 is 222433 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5621,5610

GCF of Fractions 5621/437,5610/9671 is 11/222433

11 5621, 5610
511, 510

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 5621,5610 By Matching Biggest Common Factor Method

Greatest Common Factor of 5621,5610 By Matching Biggest Common Factor Method

Factors of 5621

List of positive integer factors of 5621 that divides 5621 without a remainder.

1,7,11,73,77,511,803,5621

Factors of 5610

List of positive integer factors of 5610 that divides 5610 without a remainder.

1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610

Greatest Common Factor

We found the factors 5621,5610 . The biggest common factor number is the GCF number.
So the greatest common factor 5621,5610 is 11.

Lets's calculate LCM of 437,9671

19 437, 9671
23, 509

∴ So the LCM of the given numbers is 19 x 23 x 509 = 222433

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/222433

Therefore, the GCF of Fractions 5621/437,5610/9671 is 11/222433

Least Common Multiple of 437,9671 with GCF Formula

Least Common Multiple of 437,9671 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 437,9671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,9671) = 19

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

GCF(437,9671) x common factors =19 x 1 = 19

LCM(437,9671) = ( 437 × 9671 ) / 19

LCM(437,9671) = 4226227 / 19

LCM(437,9671) = 222433


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 5621/437, 5610/9671

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 5621/437, 5610/9671?

Answer: GCF of Numerators as per given numbers 5621/437, 5610/9671 is

GCF of Numerators i.e. for 5621,5610 is 11

LCM of denominators i.e. for 437,9671 is 222433.

Thus, GCF of Fractions is 11/222433.Finally, GCF of Fractions for 5621/437, 5610/9671 is 11/222433.