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GCF of 459/90, 320/462

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 459/90, 320/462 i.e 1/6930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 459/90, 320/462.

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 459/90,320/462?

Given fractions are 459/90,320/462

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 459/90,320/462, numerators are 459,320

Denominators are 90,462

The GCF of 459,320 is 1 .

LCM of 90,462 is 6930.

The greatest common factor of 459/90,320/462 = [GCF of 459,320]/[LCM of 90,462]= 1/6930

Therefore, the GCF of 459/90,320/462 is 1/6930.

Greatest Common Factor of 459,320

To find the highest common factor of 459,320, we have to find the factors of both numbers and list the highest common factor.

The factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459

The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

The HCF of 459,320 is 1.

Lets's calculate GCF of 459,320

Greatest Common Factor (GCF) of 459,320 By Common Division

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

Greatest Common Factor of 459,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,320 By Matching Biggest Common Factor Method

Now, list down the factors of 459

:

1,3,9,17,27,51,153,459

Now, list down the factors of 320

:

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 459,320 . The biggest common factor number is the GCF number.
So the greatest common factor 459,320 is 1.

Lets's calculate LCM of 90,462

Lowest Common Multiple of 90,462 using Common Division

2 90, 462
3 45, 231
15, 77

∴ So the LCM of the given numbers is 2 x 3 x 15 x 77 = 6930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6930

Therefore, the GCF of Fractions 459/90,320/462 is 1/6930

Least Common Multiple of 90,462 with GCF Formula

Least Common Multiple of 90,462 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 90,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,462) = 6

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

GCF(90,462) x common factors =6 x 1 = 6

LCM(90,462) = ( 90 × 462 ) / 6

LCM(90,462) = 41580 / 6

LCM(90,462) = 6930


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FAQs on GCF of Fractions of 459/90, 320/462

1. What is the HCF of 459,320?

The HCF of 459,320 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 459/90, 320/462?

Answer: GCF of Numerators as per given numbers 459/90, 320/462 is

GCF of Numerators i.e. for 459,320 is 1

LCM of denominators i.e. for 90,462 is 6930.

Thus, GCF of Fractions is 1/6930.Finally, GCF of Fractions for 459/90, 320/462 is 1/6930.