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GCF of 319/547, 6421/9323

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 319/547, 6421/9323 i.e 1/5099681 easily. The following is the detailed procedure to determine the greatest common factor of fractions 319/547, 6421/9323.

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 319/547,6421/9323?

Given fractions are 319/547,6421/9323

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 319/547,6421/9323, numerators are 319,6421

Denominators are 547,9323

The GCF of 319,6421 is 1 .

LCM of 547,9323 is 5099681.

The greatest common factor of 319/547,6421/9323 = [GCF of 319,6421]/[LCM of 547,9323]= 1/5099681

Therefore, the GCF of 319/547,6421/9323 is 1/5099681.

Greatest Common Factor of 319,6421

To find the highest common factor of 319,6421, we have to find the factors of both numbers and list the highest common factor.

The factors of 319 are 1, 11, 29, 319

The factors of 6421 are 1, 6421

The HCF of 319,6421 is 1.

Lets's calculate GCF of 319,6421

Greatest Common Factor (GCF) of 319,6421 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 319,6421 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,6421 By Matching Biggest Common Factor Method

Now, list down the factors of 319

:

1,11,29,319

Now, list down the factors of 6421

:

1,6421

Greatest Common Factor

We found the factors 319,6421 . The biggest common factor number is the GCF number.
So the greatest common factor 319,6421 is 1.

Lets's calculate LCM of 547,9323

Lowest Common Multiple of 547,9323 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5099681

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5099681

Therefore, the GCF of Fractions 319/547,6421/9323 is 1/5099681

Least Common Multiple of 547,9323 with GCF Formula

Least Common Multiple of 547,9323 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 547,9323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,9323) = 1

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

GCF(547,9323) x common factors =1 x 1 = 1

LCM(547,9323) = ( 547 × 9323 ) / 1

LCM(547,9323) = 5099681 / 1

LCM(547,9323) = 5099681


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FAQs on GCF of Fractions of 319/547, 6421/9323

1. What is the HCF of 319,6421?

The HCF of 319,6421 is 1

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 319/547, 6421/9323?

Answer: GCF of Numerators as per given numbers 319/547, 6421/9323 is

GCF of Numerators i.e. for 319,6421 is 1

LCM of denominators i.e. for 547,9323 is 5099681.

Thus, GCF of Fractions is 1/5099681.Finally, GCF of Fractions for 319/547, 6421/9323 is 1/5099681.