Greatest Common Factor of 9872/59, 6622/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9872/59, 6622/437

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 9872/59,6622/437

Given fractions are 9872/59,6622/437

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 9872,6622

Greatest Common Factor of Numerators i.e. GCF of 9872,6622 is 2 .

LCM of Denominators means LCM of 59,437 as per the given fractions.

LCM of 59,437 is 25783 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9872,6622

GCF of Fractions 9872/59,6622/437 is 2/25783

2 9872, 6622
4936, 3311

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

Greatest Common Factor of 9872,6622 By Matching Biggest Common Factor Method

Greatest Common Factor of 9872,6622 By Matching Biggest Common Factor Method

Factors of 9872

List of positive integer factors of 9872 that divides 9872 without a remainder.

1,2,4,8,16,617,1234,2468,4936,9872

Factors of 6622

List of positive integer factors of 6622 that divides 6622 without a remainder.

1,2,7,11,14,22,43,77,86,154,301,473,602,946,3311,6622

Greatest Common Factor

We found the factors 9872,6622 . The biggest common factor number is the GCF number.
So the greatest common factor 9872,6622 is 2.

Lets's calculate LCM of 59,437

Given numbers has no common factors except 1. So, there LCM is their product i.e 25783

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25783

Therefore, the GCF of Fractions 9872/59,6622/437 is 2/25783

Least Common Multiple of 59,437 with GCF Formula

Least Common Multiple of 59,437 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 59,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,437) = 1

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

GCF(59,437) x common factors =1 x 1 = 1

LCM(59,437) = ( 59 × 437 ) / 1

LCM(59,437) = 25783 / 1

LCM(59,437) = 25783


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 9872/59, 6622/437

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 9872/59, 6622/437?

Answer: GCF of Numerators as per given numbers 9872/59, 6622/437 is

GCF of Numerators i.e. for 9872,6622 is 2

LCM of denominators i.e. for 59,437 is 25783.

Thus, GCF of Fractions is 2/25783.Finally, GCF of Fractions for 9872/59, 6622/437 is 2/25783.