How to Find GCF of 432/23, 380/3289?

GCF of 432/23, 380/3289

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 432/23, 380/3289 i.e 4/3289 easily. The following is the detailed procedure to determine the greatest common factor of fractions 432/23, 380/3289.

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 432/23,380/3289?

Given fractions are 432/23,380/3289

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 432/23,380/3289, numerators are 432,380

Denominators are 23,3289

The GCF of 432,380 is 4 .

LCM of 23,3289 is 3289.

The greatest common factor of 432/23,380/3289 = [GCF of 432,380]/[LCM of 23,3289]= 4/3289

Therefore, the GCF of 432/23,380/3289 is 4/3289.

Greatest Common Factor of 432,380

To find the highest common factor of 432,380, we have to find the factors of both numbers and list the highest common factor.

The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

The HCF of 432,380 is 4.

Lets's calculate GCF of 432,380

Greatest Common Factor (GCF) of 432,380 By Common Division

2	432, 380
2	216, 190
	108, 95

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 432,380 By Matching Biggest Common Factor Method

Now, list down the factors of 432

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Now, list down the factors of 380

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 432,380 . The biggest common factor number is the GCF number.
So the greatest common factor 432,380 is 4.

Lets's calculate LCM of 23,3289

Lowest Common Multiple of 23,3289 using Common Division

23	23, 3289
	1, 143

∴ So the LCM of the given numbers is 23 x 1 x 143 = 3289

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3289

Therefore, the GCF of Fractions 432/23,380/3289 is 4/3289

Least Common Multiple of 23,3289 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 23,3289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,3289) = 23

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

GCF(23,3289) x common factors =23 x 1 = 23

LCM(23,3289) = ( 23 × 3289 ) / 23

LCM(23,3289) = 75647 / 23

LCM(23,3289) = 3289

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FAQs on GCF of Fractions of 432/23, 380/3289

1. What is the HCF of 432,380?

The HCF of 432,380 is 4

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 432/23, 380/3289?

Answer: GCF of Numerators as per given numbers 432/23, 380/3289 is

GCF of Numerators i.e. for 432,380 is 4

LCM of denominators i.e. for 23,3289 is 3289.

Thus, GCF of Fractions is 4/3289.Finally, GCF of Fractions for 432/23, 380/3289 is 4/3289.