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GCF of 324/94, 753/5381

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 324/94, 753/5381 i.e 3/505814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/94, 753/5381.

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 324/94,753/5381?

Given fractions are 324/94,753/5381

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 324/94,753/5381, numerators are 324,753

Denominators are 94,5381

The GCF of 324,753 is 3 .

LCM of 94,5381 is 505814.

The greatest common factor of 324/94,753/5381 = [GCF of 324,753]/[LCM of 94,5381]= 3/505814

Therefore, the GCF of 324/94,753/5381 is 3/505814.

Greatest Common Factor of 324,753

To find the highest common factor of 324,753, 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 753 are 1, 3, 251, 753

The HCF of 324,753 is 3.

Lets's calculate GCF of 324,753

Greatest Common Factor (GCF) of 324,753 By Common Division

3 324, 753
108, 251

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

Greatest Common Factor of 324,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,753 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 753

:

1,3,251,753

Greatest Common Factor

We found the factors 324,753 . The biggest common factor number is the GCF number.
So the greatest common factor 324,753 is 3.


Lets's calculate LCM of 94,5381

Lowest Common Multiple of 94,5381 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 505814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/505814

Therefore, the GCF of Fractions 324/94,753/5381 is 3/505814

Least Common Multiple of 94,5381 with GCF Formula

Least Common Multiple of 94,5381 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 94,5381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,5381) = 1

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

GCF(94,5381) x common factors =1 x 1 = 1

LCM(94,5381) = ( 94 × 5381 ) / 1

LCM(94,5381) = 505814 / 1

LCM(94,5381) = 505814


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 324/94, 753/5381

1. What is the HCF of 324,753?

The HCF of 324,753 is 3

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 324/94, 753/5381?

Answer: GCF of Numerators as per given numbers 324/94, 753/5381 is

GCF of Numerators i.e. for 324,753 is 3

LCM of denominators i.e. for 94,5381 is 505814.

Thus, GCF of Fractions is 3/505814.Finally, GCF of Fractions for 324/94, 753/5381 is 3/505814.