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 324/21, 772/219

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 324/21, 772/219 i.e 4/1533 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/21, 772/219.

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 324/21,772/219?

Given fractions are 324/21,772/219

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 324/21,772/219, numerators are 324,772

Denominators are 21,219

The GCF of 324,772 is 4 .

LCM of 21,219 is 1533.

The greatest common factor of 324/21,772/219 = [GCF of 324,772]/[LCM of 21,219]= 4/1533

Therefore, the GCF of 324/21,772/219 is 4/1533.

Greatest Common Factor of 324,772

To find the highest common factor of 324,772, we have to find the factors of both numbers and list the highest common factor.

The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

The factors of 772 are 1, 2, 4, 193, 386, 772

The HCF of 324,772 is 4.

Lets's calculate GCF of 324,772

Greatest Common Factor (GCF) of 324,772 By Common Division

2 324, 772
2 162, 386
81, 193

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 324,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,772 By Matching Biggest Common Factor Method

Now, list down the factors of 324

:

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Now, list down the factors of 772

:

1,2,4,193,386,772

Greatest Common Factor

We found the factors 324,772 . The biggest common factor number is the GCF number.
So the greatest common factor 324,772 is 4.


Lets's calculate LCM of 21,219

Lowest Common Multiple of 21,219 using Common Division

3 21, 219
7, 73

∴ So the LCM of the given numbers is 3 x 7 x 73 = 1533

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1533

Therefore, the GCF of Fractions 324/21,772/219 is 4/1533

Least Common Multiple of 21,219 with GCF Formula

Least Common Multiple of 21,219 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 21,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,219) = 3

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

GCF(21,219) x common factors =3 x 1 = 3

LCM(21,219) = ( 21 × 219 ) / 3

LCM(21,219) = 4599 / 3

LCM(21,219) = 1533


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 324/21, 772/219

1. What is the HCF of 324,772?

The HCF of 324,772 is 4

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 324/21, 772/219?

Answer: GCF of Numerators as per given numbers 324/21, 772/219 is

GCF of Numerators i.e. for 324,772 is 4

LCM of denominators i.e. for 21,219 is 1533.

Thus, GCF of Fractions is 4/1533.Finally, GCF of Fractions for 324/21, 772/219 is 4/1533.