Greatest Common Factor of 9669/212, 3642/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9669/212, 3642/647

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 9669/212,3642/647

Given fractions are 9669/212,3642/647

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 9669,3642

Greatest Common Factor of Numerators i.e. GCF of 9669,3642 is 3 .

LCM of Denominators means LCM of 212,647 as per the given fractions.

LCM of 212,647 is 137164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9669,3642

GCF of Fractions 9669/212,3642/647 is 3/137164

3 9669, 3642
3223, 1214

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9669,3642 By Matching Biggest Common Factor Method

Greatest Common Factor of 9669,3642 By Matching Biggest Common Factor Method

Factors of 9669

List of positive integer factors of 9669 that divides 9669 without a remainder.

1,3,11,33,293,879,3223,9669

Factors of 3642

List of positive integer factors of 3642 that divides 3642 without a remainder.

1,2,3,6,607,1214,1821,3642

Greatest Common Factor

We found the factors 9669,3642 . The biggest common factor number is the GCF number.
So the greatest common factor 9669,3642 is 3.

Lets's calculate LCM of 212,647

Given numbers has no common factors except 1. So, there LCM is their product i.e 137164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/137164

Therefore, the GCF of Fractions 9669/212,3642/647 is 3/137164

Least Common Multiple of 212,647 with GCF Formula

Least Common Multiple of 212,647 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 212,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,647) = 1

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

GCF(212,647) x common factors =1 x 1 = 1

LCM(212,647) = ( 212 × 647 ) / 1

LCM(212,647) = 137164 / 1

LCM(212,647) = 137164


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 9669/212, 3642/647

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 9669/212, 3642/647?

Answer: GCF of Numerators as per given numbers 9669/212, 3642/647 is

GCF of Numerators i.e. for 9669,3642 is 3

LCM of denominators i.e. for 212,647 is 137164.

Thus, GCF of Fractions is 3/137164.Finally, GCF of Fractions for 9669/212, 3642/647 is 3/137164.