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GCF of 466/398, 499/972

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 466/398, 499/972 i.e 1/193428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 466/398, 499/972.

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 466/398,499/972?

Given fractions are 466/398,499/972

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 466/398,499/972, numerators are 466,499

Denominators are 398,972

The GCF of 466,499 is 1 .

LCM of 398,972 is 193428.

The greatest common factor of 466/398,499/972 = [GCF of 466,499]/[LCM of 398,972]= 1/193428

Therefore, the GCF of 466/398,499/972 is 1/193428.

Greatest Common Factor of 466,499

To find the highest common factor of 466,499, 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 499 are 1, 499

The HCF of 466,499 is 1.

Lets's calculate GCF of 466,499

Greatest Common Factor (GCF) of 466,499 By Common Division

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

Greatest Common Factor of 466,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,499 By Matching Biggest Common Factor Method

Now, list down the factors of 466

:

1,2,233,466

Now, list down the factors of 499

:

1,499

Greatest Common Factor

We found the factors 466,499 . The biggest common factor number is the GCF number.
So the greatest common factor 466,499 is 1.

Lets's calculate LCM of 398,972

Lowest Common Multiple of 398,972 using Common Division

2 398, 972
199, 486

∴ So the LCM of the given numbers is 2 x 199 x 486 = 193428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193428

Therefore, the GCF of Fractions 466/398,499/972 is 1/193428

Least Common Multiple of 398,972 with GCF Formula

Least Common Multiple of 398,972 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 398,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,972) = 2

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

GCF(398,972) x common factors =2 x 1 = 2

LCM(398,972) = ( 398 × 972 ) / 2

LCM(398,972) = 386856 / 2

LCM(398,972) = 193428


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FAQs on GCF of Fractions of 466/398, 499/972

1. What is the HCF of 466,499?

The HCF of 466,499 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 466/398, 499/972?

Answer: GCF of Numerators as per given numbers 466/398, 499/972 is

GCF of Numerators i.e. for 466,499 is 1

LCM of denominators i.e. for 398,972 is 193428.

Thus, GCF of Fractions is 1/193428.Finally, GCF of Fractions for 466/398, 499/972 is 1/193428.