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GCF of 333/66, 528/9947

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 333/66, 528/9947 i.e 3/656502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 333/66, 528/9947.

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 333/66,528/9947?

Given fractions are 333/66,528/9947

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 333/66,528/9947, numerators are 333,528

Denominators are 66,9947

The GCF of 333,528 is 3 .

LCM of 66,9947 is 656502.

The greatest common factor of 333/66,528/9947 = [GCF of 333,528]/[LCM of 66,9947]= 3/656502

Therefore, the GCF of 333/66,528/9947 is 3/656502.

Greatest Common Factor of 333,528

To find the highest common factor of 333,528, 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 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

The HCF of 333,528 is 3.

Lets's calculate GCF of 333,528

Greatest Common Factor (GCF) of 333,528 By Common Division

3 333, 528
111, 176

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

Greatest Common Factor of 333,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,528 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 528

:

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 333,528 . The biggest common factor number is the GCF number.
So the greatest common factor 333,528 is 3.

Lets's calculate LCM of 66,9947

Lowest Common Multiple of 66,9947 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 656502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/656502

Therefore, the GCF of Fractions 333/66,528/9947 is 3/656502

Least Common Multiple of 66,9947 with GCF Formula

Least Common Multiple of 66,9947 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 66,9947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,9947) = 1

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

GCF(66,9947) x common factors =1 x 1 = 1

LCM(66,9947) = ( 66 × 9947 ) / 1

LCM(66,9947) = 656502 / 1

LCM(66,9947) = 656502


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FAQs on GCF of Fractions of 333/66, 528/9947

1. What is the HCF of 333,528?

The HCF of 333,528 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 333/66, 528/9947?

Answer: GCF of Numerators as per given numbers 333/66, 528/9947 is

GCF of Numerators i.e. for 333,528 is 3

LCM of denominators i.e. for 66,9947 is 656502.

Thus, GCF of Fractions is 3/656502.Finally, GCF of Fractions for 333/66, 528/9947 is 3/656502.