How to Find GCF of 328/233, 8432/459?

GCF of 328/233, 8432/459

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 328/233, 8432/459 i.e 8/106947 easily. The following is the detailed procedure to determine the greatest common factor of fractions 328/233, 8432/459.

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 328/233,8432/459?

Given fractions are 328/233,8432/459

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 328/233,8432/459, numerators are 328,8432

Denominators are 233,459

The GCF of 328,8432 is 8 .

LCM of 233,459 is 106947.

The greatest common factor of 328/233,8432/459 = [GCF of 328,8432]/[LCM of 233,459]= 8/106947

Therefore, the GCF of 328/233,8432/459 is 8/106947.

Greatest Common Factor of 328,8432

To find the highest common factor of 328,8432, we have to find the factors of both numbers and list the highest common factor.

The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328

The factors of 8432 are 1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432

The HCF of 328,8432 is 8.

Lets's calculate GCF of 328,8432

Greatest Common Factor (GCF) of 328,8432 By Common Division

2	328, 8432
2	164, 4216
2	82, 2108
	41, 1054

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 328,8432 By Matching Biggest Common Factor Method

Now, list down the factors of 328

1,2,4,8,41,82,164,328

Now, list down the factors of 8432

1,2,4,8,16,17,31,34,62,68,124,136,248,272,496,527,1054,2108,4216,8432

Greatest Common Factor

We found the factors 328,8432 . The biggest common factor number is the GCF number.
So the greatest common factor 328,8432 is 8.

Lets's calculate LCM of 233,459

Lowest Common Multiple of 233,459 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 106947

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/106947

Therefore, the GCF of Fractions 328/233,8432/459 is 8/106947

Least Common Multiple of 233,459 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 233,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,459) = 1

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

GCF(233,459) x common factors =1 x 1 = 1

LCM(233,459) = ( 233 × 459 ) / 1

LCM(233,459) = 106947 / 1

LCM(233,459) = 106947

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FAQs on GCF of Fractions of 328/233, 8432/459

1. What is the HCF of 328,8432?

The HCF of 328,8432 is 8

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 328/233, 8432/459?

Answer: GCF of Numerators as per given numbers 328/233, 8432/459 is

GCF of Numerators i.e. for 328,8432 is 8

LCM of denominators i.e. for 233,459 is 106947.

Thus, GCF of Fractions is 8/106947.Finally, GCF of Fractions for 328/233, 8432/459 is 8/106947.