Greatest Common Factor of 221/67, 2312/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 221/67, 2312/632

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 221/67,2312/632

Given fractions are 221/67,2312/632

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 221,2312

Greatest Common Factor of Numerators i.e. GCF of 221,2312 is 17 .

LCM of Denominators means LCM of 67,632 as per the given fractions.

LCM of 67,632 is 42344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 221,2312

GCF of Fractions 221/67,2312/632 is 17/42344

17 221, 2312
13, 136

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 221,2312 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,2312 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 2312

List of positive integer factors of 2312 that divides 2312 without a remainder.

1,2,4,8,17,34,68,136,289,578,1156,2312

Greatest Common Factor

We found the factors 221,2312 . The biggest common factor number is the GCF number.
So the greatest common factor 221,2312 is 17.

Lets's calculate LCM of 67,632

Given numbers has no common factors except 1. So, there LCM is their product i.e 42344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/42344

Therefore, the GCF of Fractions 221/67,2312/632 is 17/42344

Least Common Multiple of 67,632 with GCF Formula

Least Common Multiple of 67,632 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 67,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,632) = 1

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

GCF(67,632) x common factors =1 x 1 = 1

LCM(67,632) = ( 67 × 632 ) / 1

LCM(67,632) = 42344 / 1

LCM(67,632) = 42344


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 221/67, 2312/632

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 221/67, 2312/632?

Answer: GCF of Numerators as per given numbers 221/67, 2312/632 is

GCF of Numerators i.e. for 221,2312 is 17

LCM of denominators i.e. for 67,632 is 42344.

Thus, GCF of Fractions is 17/42344.Finally, GCF of Fractions for 221/67, 2312/632 is 17/42344.