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GCF of 291/66, 647/594

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 291/66, 647/594 i.e 1/594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 291/66, 647/594.

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 291/66,647/594?

Given fractions are 291/66,647/594

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 291/66,647/594, numerators are 291,647

Denominators are 66,594

The GCF of 291,647 is 1 .

LCM of 66,594 is 594.

The greatest common factor of 291/66,647/594 = [GCF of 291,647]/[LCM of 66,594]= 1/594

Therefore, the GCF of 291/66,647/594 is 1/594.

Greatest Common Factor of 291,647

To find the highest common factor of 291,647, we have to find the factors of both numbers and list the highest common factor.

The factors of 291 are 1, 3, 97, 291

The factors of 647 are 1, 647

The HCF of 291,647 is 1.

Lets's calculate GCF of 291,647

Greatest Common Factor (GCF) of 291,647 By Common Division

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

Greatest Common Factor of 291,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,647 By Matching Biggest Common Factor Method

Now, list down the factors of 291

:

1,3,97,291

Now, list down the factors of 647

:

1,647

Greatest Common Factor

We found the factors 291,647 . The biggest common factor number is the GCF number.
So the greatest common factor 291,647 is 1.

Lets's calculate LCM of 66,594

Lowest Common Multiple of 66,594 using Common Division

2 66, 594
3 33, 297
11 11, 99
1, 9

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 9 = 594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594

Therefore, the GCF of Fractions 291/66,647/594 is 1/594

Least Common Multiple of 66,594 with GCF Formula

Least Common Multiple of 66,594 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 66,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,594) = 66

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

GCF(66,594) x common factors =66 x 1 = 66

LCM(66,594) = ( 66 × 594 ) / 66

LCM(66,594) = 39204 / 66

LCM(66,594) = 594


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FAQs on GCF of Fractions of 291/66, 647/594

1. What is the HCF of 291,647?

The HCF of 291,647 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 291/66, 647/594?

Answer: GCF of Numerators as per given numbers 291/66, 647/594 is

GCF of Numerators i.e. for 291,647 is 1

LCM of denominators i.e. for 66,594 is 594.

Thus, GCF of Fractions is 1/594.Finally, GCF of Fractions for 291/66, 647/594 is 1/594.