How to Find GCF of 466/331, 9798/630?

GCF of 466/331, 9798/630

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 466/331, 9798/630 i.e 2/208530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 466/331, 9798/630.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 466/331,9798/630?

Given fractions are 466/331,9798/630

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 466/331,9798/630, numerators are 466,9798

Denominators are 331,630

The GCF of 466,9798 is 2 .

LCM of 331,630 is 208530.

The greatest common factor of 466/331,9798/630 = [GCF of 466,9798]/[LCM of 331,630]= 2/208530

Therefore, the GCF of 466/331,9798/630 is 2/208530.

Greatest Common Factor of 466,9798

To find the highest common factor of 466,9798, we have to find the factors of both numbers and list the highest common factor.

The factors of 466 are 1, 2, 233, 466

The factors of 9798 are 1, 2, 3, 6, 23, 46, 69, 71, 138, 142, 213, 426, 1633, 3266, 4899, 9798

The HCF of 466,9798 is 2.

Lets's calculate GCF of 466,9798

Greatest Common Factor (GCF) of 466,9798 By Common Division

2	466, 9798
	233, 4899

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

Greatest Common Factor of 466,9798 By Matching Biggest Common Factor Method

Now, list down the factors of 466

1,2,233,466

Now, list down the factors of 9798

1,2,3,6,23,46,69,71,138,142,213,426,1633,3266,4899,9798

Greatest Common Factor

We found the factors 466,9798 . The biggest common factor number is the GCF number.
So the greatest common factor 466,9798 is 2.

Lets's calculate LCM of 331,630

Lowest Common Multiple of 331,630 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 208530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/208530

Therefore, the GCF of Fractions 466/331,9798/630 is 2/208530

Least Common Multiple of 331,630 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 331,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,630) = 1

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

GCF(331,630) x common factors =1 x 1 = 1

LCM(331,630) = ( 331 × 630 ) / 1

LCM(331,630) = 208530 / 1

LCM(331,630) = 208530

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FAQs on GCF of Fractions of 466/331, 9798/630

1. What is the HCF of 466,9798?

The HCF of 466,9798 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 466/331, 9798/630?

Answer: GCF of Numerators as per given numbers 466/331, 9798/630 is

GCF of Numerators i.e. for 466,9798 is 2

LCM of denominators i.e. for 331,630 is 208530.

Thus, GCF of Fractions is 2/208530.Finally, GCF of Fractions for 466/331, 9798/630 is 2/208530.