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GCF of 323/422, 333/501

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 323/422, 333/501 i.e 1/211422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 323/422, 333/501.

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 323/422,333/501?

Given fractions are 323/422,333/501

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 323/422,333/501, numerators are 323,333

Denominators are 422,501

The GCF of 323,333 is 1 .

LCM of 422,501 is 211422.

The greatest common factor of 323/422,333/501 = [GCF of 323,333]/[LCM of 422,501]= 1/211422

Therefore, the GCF of 323/422,333/501 is 1/211422.

Greatest Common Factor of 323,333

To find the highest common factor of 323,333, we have to find the factors of both numbers and list the highest common factor.

The factors of 323 are 1, 17, 19, 323

The factors of 333 are 1, 3, 9, 37, 111, 333

The HCF of 323,333 is 1.

Lets's calculate GCF of 323,333

Greatest Common Factor (GCF) of 323,333 By Common Division

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

Greatest Common Factor of 323,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,333 By Matching Biggest Common Factor Method

Now, list down the factors of 323

:

1,17,19,323

Now, list down the factors of 333

:

1,3,9,37,111,333

Greatest Common Factor

We found the factors 323,333 . The biggest common factor number is the GCF number.
So the greatest common factor 323,333 is 1.

Lets's calculate LCM of 422,501

Lowest Common Multiple of 422,501 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 211422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211422

Therefore, the GCF of Fractions 323/422,333/501 is 1/211422

Least Common Multiple of 422,501 with GCF Formula

Least Common Multiple of 422,501 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 422,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,501) = 1

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

GCF(422,501) x common factors =1 x 1 = 1

LCM(422,501) = ( 422 × 501 ) / 1

LCM(422,501) = 211422 / 1

LCM(422,501) = 211422


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FAQs on GCF of Fractions of 323/422, 333/501

1. What is the HCF of 323,333?

The HCF of 323,333 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 323/422, 333/501?

Answer: GCF of Numerators as per given numbers 323/422, 333/501 is

GCF of Numerators i.e. for 323,333 is 1

LCM of denominators i.e. for 422,501 is 211422.

Thus, GCF of Fractions is 1/211422.Finally, GCF of Fractions for 323/422, 333/501 is 1/211422.