Greatest Common Factor of 22/43, 16/58, 644/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 22/43, 16/58, 644/525

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 22/43,16/58,644/525

Given fractions are 22/43,16/58,644/525

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 22,16,644

Greatest Common Factor of Numerators i.e. GCF of 22,16,644 is 2 .

LCM of Denominators means LCM of 43,58,525 as per the given fractions.

LCM of 43,58,525 is 1309350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 22,16,644

GCF of Fractions 22/43,16/58,644/525 is 2/1309350

2 22, 16, 644
11, 8, 322

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

Greatest Common Factor of 22,16,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,16,644 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 22,16,644 . The biggest common factor number is the GCF number.
So the greatest common factor 22,16,644 is 2.

Lets's calculate LCM of 43,58,525

Given numbers has no common factors except 1. So, there LCM is their product i.e 1309350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1309350

Therefore, the GCF of Fractions 22/43,16/58,644/525 is 2/1309350

Least Common Multiple of 43,58,525 with GCF Formula

Least Common Multiple of 43,58,525 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 43,58,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,58,525) = 1

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

GCF(43,58,525) x common factors =1 x 1 = 1

LCM(43,58,525) = ( 43 × 58 × 525 ) / 1

LCM(43,58,525) = 1309350 / 1

LCM(43,58,525) = 1309350


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 22/43, 16/58, 644/525

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 22/43, 16/58, 644/525?

Answer: GCF of Numerators as per given numbers 22/43, 16/58, 644/525 is

GCF of Numerators i.e. for 22,16,644 is 2

LCM of denominators i.e. for 43,58,525 is 1309350.

Thus, GCF of Fractions is 2/1309350.Finally, GCF of Fractions for 22/43, 16/58, 644/525 is 2/1309350.