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GCF of 146/463, 838/990

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 146/463, 838/990 i.e 2/458370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/463, 838/990.

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 146/463,838/990?

Given fractions are 146/463,838/990

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 146/463,838/990, numerators are 146,838

Denominators are 463,990

The GCF of 146,838 is 2 .

LCM of 463,990 is 458370.

The greatest common factor of 146/463,838/990 = [GCF of 146,838]/[LCM of 463,990]= 2/458370

Therefore, the GCF of 146/463,838/990 is 2/458370.

Greatest Common Factor of 146,838

To find the highest common factor of 146,838, we have to find the factors of both numbers and list the highest common factor.

The factors of 146 are 1, 2, 73, 146

The factors of 838 are 1, 2, 419, 838

The HCF of 146,838 is 2.

Lets's calculate GCF of 146,838

Greatest Common Factor (GCF) of 146,838 By Common Division

2 146, 838
73, 419

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

Greatest Common Factor of 146,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,838 By Matching Biggest Common Factor Method

Now, list down the factors of 146

:

1,2,73,146

Now, list down the factors of 838

:

1,2,419,838

Greatest Common Factor

We found the factors 146,838 . The biggest common factor number is the GCF number.
So the greatest common factor 146,838 is 2.

Lets's calculate LCM of 463,990

Lowest Common Multiple of 463,990 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 458370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/458370

Therefore, the GCF of Fractions 146/463,838/990 is 2/458370

Least Common Multiple of 463,990 with GCF Formula

Least Common Multiple of 463,990 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 463,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,990) = 1

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

GCF(463,990) x common factors =1 x 1 = 1

LCM(463,990) = ( 463 × 990 ) / 1

LCM(463,990) = 458370 / 1

LCM(463,990) = 458370


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FAQs on GCF of Fractions of 146/463, 838/990

1. What is the HCF of 146,838?

The HCF of 146,838 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 146/463, 838/990?

Answer: GCF of Numerators as per given numbers 146/463, 838/990 is

GCF of Numerators i.e. for 146,838 is 2

LCM of denominators i.e. for 463,990 is 458370.

Thus, GCF of Fractions is 2/458370.Finally, GCF of Fractions for 146/463, 838/990 is 2/458370.