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GCF of 333/70, 566/471

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 333/70, 566/471 i.e 1/32970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 333/70, 566/471.

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 333/70,566/471?

Given fractions are 333/70,566/471

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 333/70,566/471, numerators are 333,566

Denominators are 70,471

The GCF of 333,566 is 1 .

LCM of 70,471 is 32970.

The greatest common factor of 333/70,566/471 = [GCF of 333,566]/[LCM of 70,471]= 1/32970

Therefore, the GCF of 333/70,566/471 is 1/32970.

Greatest Common Factor of 333,566

To find the highest common factor of 333,566, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 566 are 1, 2, 283, 566

The HCF of 333,566 is 1.

Lets's calculate GCF of 333,566

Greatest Common Factor (GCF) of 333,566 By Common Division

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

Greatest Common Factor of 333,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,566 By Matching Biggest Common Factor Method

Now, list down the factors of 333

:

1,3,9,37,111,333

Now, list down the factors of 566

:

1,2,283,566

Greatest Common Factor

We found the factors 333,566 . The biggest common factor number is the GCF number.
So the greatest common factor 333,566 is 1.

Lets's calculate LCM of 70,471

Lowest Common Multiple of 70,471 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 32970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32970

Therefore, the GCF of Fractions 333/70,566/471 is 1/32970

Least Common Multiple of 70,471 with GCF Formula

Least Common Multiple of 70,471 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 70,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,471) = 1

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

GCF(70,471) x common factors =1 x 1 = 1

LCM(70,471) = ( 70 × 471 ) / 1

LCM(70,471) = 32970 / 1

LCM(70,471) = 32970


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FAQs on GCF of Fractions of 333/70, 566/471

1. What is the HCF of 333,566?

The HCF of 333,566 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 333/70, 566/471?

Answer: GCF of Numerators as per given numbers 333/70, 566/471 is

GCF of Numerators i.e. for 333,566 is 1

LCM of denominators i.e. for 70,471 is 32970.

Thus, GCF of Fractions is 1/32970.Finally, GCF of Fractions for 333/70, 566/471 is 1/32970.