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GCF of 606/266, 1721/648

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 606/266, 1721/648 i.e 1/86184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 606/266, 1721/648.

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 606/266,1721/648?

Given fractions are 606/266,1721/648

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 606/266,1721/648, numerators are 606,1721

Denominators are 266,648

The GCF of 606,1721 is 1 .

LCM of 266,648 is 86184.

The greatest common factor of 606/266,1721/648 = [GCF of 606,1721]/[LCM of 266,648]= 1/86184

Therefore, the GCF of 606/266,1721/648 is 1/86184.

Greatest Common Factor of 606,1721

To find the highest common factor of 606,1721, we have to find the factors of both numbers and list the highest common factor.

The factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606

The factors of 1721 are 1, 1721

The HCF of 606,1721 is 1.

Lets's calculate GCF of 606,1721

Greatest Common Factor (GCF) of 606,1721 By Common Division

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

Greatest Common Factor of 606,1721 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,1721 By Matching Biggest Common Factor Method

Now, list down the factors of 606

:

1,2,3,6,101,202,303,606

Now, list down the factors of 1721

:

1,1721

Greatest Common Factor

We found the factors 606,1721 . The biggest common factor number is the GCF number.
So the greatest common factor 606,1721 is 1.

Lets's calculate LCM of 266,648

Lowest Common Multiple of 266,648 using Common Division

2 266, 648
133, 324

∴ So the LCM of the given numbers is 2 x 133 x 324 = 86184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86184

Therefore, the GCF of Fractions 606/266,1721/648 is 1/86184

Least Common Multiple of 266,648 with GCF Formula

Least Common Multiple of 266,648 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 266,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,648) = 2

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

GCF(266,648) x common factors =2 x 1 = 2

LCM(266,648) = ( 266 × 648 ) / 2

LCM(266,648) = 172368 / 2

LCM(266,648) = 86184


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FAQs on GCF of Fractions of 606/266, 1721/648

1. What is the HCF of 606,1721?

The HCF of 606,1721 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 606/266, 1721/648?

Answer: GCF of Numerators as per given numbers 606/266, 1721/648 is

GCF of Numerators i.e. for 606,1721 is 1

LCM of denominators i.e. for 266,648 is 86184.

Thus, GCF of Fractions is 1/86184.Finally, GCF of Fractions for 606/266, 1721/648 is 1/86184.