LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 189/20, 322/251

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 189/20, 322/251 i.e 7/5020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 189/20, 322/251.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 189/20,322/251?

Given fractions are 189/20,322/251

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 189/20,322/251, numerators are 189,322

Denominators are 20,251

The GCF of 189,322 is 7 .

LCM of 20,251 is 5020.

The greatest common factor of 189/20,322/251 = [GCF of 189,322]/[LCM of 20,251]= 7/5020

Therefore, the GCF of 189/20,322/251 is 7/5020.

Greatest Common Factor of 189,322

To find the highest common factor of 189,322, we have to find the factors of both numbers and list the highest common factor.

The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189

The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322

The HCF of 189,322 is 7.

Lets's calculate GCF of 189,322

Greatest Common Factor (GCF) of 189,322 By Common Division

7 189, 322
27, 46

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 189,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,322 By Matching Biggest Common Factor Method

Now, list down the factors of 189

:

1,3,7,9,21,27,63,189

Now, list down the factors of 322

:

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 189,322 . The biggest common factor number is the GCF number.
So the greatest common factor 189,322 is 7.

Lets's calculate LCM of 20,251

Lowest Common Multiple of 20,251 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5020

Therefore, the GCF of Fractions 189/20,322/251 is 7/5020

Least Common Multiple of 20,251 with GCF Formula

Least Common Multiple of 20,251 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 20,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,251) = 1

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

GCF(20,251) x common factors =1 x 1 = 1

LCM(20,251) = ( 20 × 251 ) / 1

LCM(20,251) = 5020 / 1

LCM(20,251) = 5020


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 189/20, 322/251

1. What is the HCF of 189,322?

The HCF of 189,322 is 7

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 189/20, 322/251?

Answer: GCF of Numerators as per given numbers 189/20, 322/251 is

GCF of Numerators i.e. for 189,322 is 7

LCM of denominators i.e. for 20,251 is 5020.

Thus, GCF of Fractions is 7/5020.Finally, GCF of Fractions for 189/20, 322/251 is 7/5020.