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GCF of 486/37, 406/834

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 486/37, 406/834 i.e 2/30858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 486/37, 406/834.

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 486/37,406/834?

Given fractions are 486/37,406/834

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 486/37,406/834, numerators are 486,406

Denominators are 37,834

The GCF of 486,406 is 2 .

LCM of 37,834 is 30858.

The greatest common factor of 486/37,406/834 = [GCF of 486,406]/[LCM of 37,834]= 2/30858

Therefore, the GCF of 486/37,406/834 is 2/30858.

Greatest Common Factor of 486,406

To find the highest common factor of 486,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 486,406 is 2.

Lets's calculate GCF of 486,406

Greatest Common Factor (GCF) of 486,406 By Common Division

2 486, 406
243, 203

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 486,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,406 By Matching Biggest Common Factor Method

Now, list down the factors of 486

:

1,2,3,6,9,18,27,54,81,162,243,486

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 486,406 . The biggest common factor number is the GCF number.
So the greatest common factor 486,406 is 2.

Lets's calculate LCM of 37,834

Lowest Common Multiple of 37,834 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30858

Therefore, the GCF of Fractions 486/37,406/834 is 2/30858

Least Common Multiple of 37,834 with GCF Formula

Least Common Multiple of 37,834 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 37,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,834) = 1

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

GCF(37,834) x common factors =1 x 1 = 1

LCM(37,834) = ( 37 × 834 ) / 1

LCM(37,834) = 30858 / 1

LCM(37,834) = 30858


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FAQs on GCF of Fractions of 486/37, 406/834

1. What is the HCF of 486,406?

The HCF of 486,406 is 2

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 486/37, 406/834?

Answer: GCF of Numerators as per given numbers 486/37, 406/834 is

GCF of Numerators i.e. for 486,406 is 2

LCM of denominators i.e. for 37,834 is 30858.

Thus, GCF of Fractions is 2/30858.Finally, GCF of Fractions for 486/37, 406/834 is 2/30858.