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GCF of 606/240, 461/897

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 606/240, 461/897 i.e 1/71760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 606/240, 461/897.

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 606/240,461/897?

Given fractions are 606/240,461/897

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 606/240,461/897, numerators are 606,461

Denominators are 240,897

The GCF of 606,461 is 1 .

LCM of 240,897 is 71760.

The greatest common factor of 606/240,461/897 = [GCF of 606,461]/[LCM of 240,897]= 1/71760

Therefore, the GCF of 606/240,461/897 is 1/71760.

Greatest Common Factor of 606,461

To find the highest common factor of 606,461, 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 461 are 1, 461

The HCF of 606,461 is 1.

Lets's calculate GCF of 606,461

Greatest Common Factor (GCF) of 606,461 By Common Division

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

Greatest Common Factor of 606,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,461 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 461

:

1,461

Greatest Common Factor

We found the factors 606,461 . The biggest common factor number is the GCF number.
So the greatest common factor 606,461 is 1.

Lets's calculate LCM of 240,897

Lowest Common Multiple of 240,897 using Common Division

3 240, 897
80, 299

∴ So the LCM of the given numbers is 3 x 80 x 299 = 71760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71760

Therefore, the GCF of Fractions 606/240,461/897 is 1/71760

Least Common Multiple of 240,897 with GCF Formula

Least Common Multiple of 240,897 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 240,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,897) = 3

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

GCF(240,897) x common factors =3 x 1 = 3

LCM(240,897) = ( 240 × 897 ) / 3

LCM(240,897) = 215280 / 3

LCM(240,897) = 71760


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FAQs on GCF of Fractions of 606/240, 461/897

1. What is the HCF of 606,461?

The HCF of 606,461 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 606/240, 461/897?

Answer: GCF of Numerators as per given numbers 606/240, 461/897 is

GCF of Numerators i.e. for 606,461 is 1

LCM of denominators i.e. for 240,897 is 71760.

Thus, GCF of Fractions is 1/71760.Finally, GCF of Fractions for 606/240, 461/897 is 1/71760.