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GCF of 461/60, 786/471

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 461/60, 786/471 i.e 1/9420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 461/60, 786/471.

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 461/60,786/471?

Given fractions are 461/60,786/471

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 461/60,786/471, numerators are 461,786

Denominators are 60,471

The GCF of 461,786 is 1 .

LCM of 60,471 is 9420.

The greatest common factor of 461/60,786/471 = [GCF of 461,786]/[LCM of 60,471]= 1/9420

Therefore, the GCF of 461/60,786/471 is 1/9420.

Greatest Common Factor of 461,786

To find the highest common factor of 461,786, we have to find the factors of both numbers and list the highest common factor.

The factors of 461 are 1, 461

The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786

The HCF of 461,786 is 1.

Lets's calculate GCF of 461,786

Greatest Common Factor (GCF) of 461,786 By Common Division

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

Greatest Common Factor of 461,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,786 By Matching Biggest Common Factor Method

Now, list down the factors of 461

:

1,461

Now, list down the factors of 786

:

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 461,786 . The biggest common factor number is the GCF number.
So the greatest common factor 461,786 is 1.

Lets's calculate LCM of 60,471

Lowest Common Multiple of 60,471 using Common Division

3 60, 471
20, 157

∴ So the LCM of the given numbers is 3 x 20 x 157 = 9420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9420

Therefore, the GCF of Fractions 461/60,786/471 is 1/9420

Least Common Multiple of 60,471 with GCF Formula

Least Common Multiple of 60,471 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 60,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,471) = 3

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

GCF(60,471) x common factors =3 x 1 = 3

LCM(60,471) = ( 60 × 471 ) / 3

LCM(60,471) = 28260 / 3

LCM(60,471) = 9420


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FAQs on GCF of Fractions of 461/60, 786/471

1. What is the HCF of 461,786?

The HCF of 461,786 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 461/60, 786/471?

Answer: GCF of Numerators as per given numbers 461/60, 786/471 is

GCF of Numerators i.e. for 461,786 is 1

LCM of denominators i.e. for 60,471 is 9420.

Thus, GCF of Fractions is 1/9420.Finally, GCF of Fractions for 461/60, 786/471 is 1/9420.