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GCF of 467/270, 333/578

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 467/270, 333/578 i.e 1/78030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/270, 333/578.

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 467/270,333/578?

Given fractions are 467/270,333/578

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 467/270,333/578, numerators are 467,333

Denominators are 270,578

The GCF of 467,333 is 1 .

LCM of 270,578 is 78030.

The greatest common factor of 467/270,333/578 = [GCF of 467,333]/[LCM of 270,578]= 1/78030

Therefore, the GCF of 467/270,333/578 is 1/78030.

Greatest Common Factor of 467,333

To find the highest common factor of 467,333, we have to find the factors of both numbers and list the highest common factor.

The factors of 467 are 1, 467

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

The HCF of 467,333 is 1.

Lets's calculate GCF of 467,333

Greatest Common Factor (GCF) of 467,333 By Common Division

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

Greatest Common Factor of 467,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,333 By Matching Biggest Common Factor Method

Now, list down the factors of 467

:

1,467

Now, list down the factors of 333

:

1,3,9,37,111,333

Greatest Common Factor

We found the factors 467,333 . The biggest common factor number is the GCF number.
So the greatest common factor 467,333 is 1.

Lets's calculate LCM of 270,578

Lowest Common Multiple of 270,578 using Common Division

2 270, 578
135, 289

∴ So the LCM of the given numbers is 2 x 135 x 289 = 78030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78030

Therefore, the GCF of Fractions 467/270,333/578 is 1/78030

Least Common Multiple of 270,578 with GCF Formula

Least Common Multiple of 270,578 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 270,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,578) = 2

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

GCF(270,578) x common factors =2 x 1 = 2

LCM(270,578) = ( 270 × 578 ) / 2

LCM(270,578) = 156060 / 2

LCM(270,578) = 78030


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FAQs on GCF of Fractions of 467/270, 333/578

1. What is the HCF of 467,333?

The HCF of 467,333 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 467/270, 333/578?

Answer: GCF of Numerators as per given numbers 467/270, 333/578 is

GCF of Numerators i.e. for 467,333 is 1

LCM of denominators i.e. for 270,578 is 78030.

Thus, GCF of Fractions is 1/78030.Finally, GCF of Fractions for 467/270, 333/578 is 1/78030.