Highest Common Factor of 432, 283, 75, 387 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 432, 283, 75, 387 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 432, 283, 75, 387 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 432, 283, 75, 387 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 432, 283, 75, 387 is 1.

HCF(432, 283, 75, 387) = 1

HCF of 432, 283, 75, 387 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 432, 283, 75, 387 is 1.

Highest Common Factor of 432,283,75,387 using Euclid's algorithm

Highest Common Factor of 432,283,75,387 is 1

Step 1: Since 432 > 283, we apply the division lemma to 432 and 283, to get

432 = 283 x 1 + 149

Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 149 and 283, to get

283 = 149 x 1 + 134

Step 3: We consider the new divisor 149 and the new remainder 134, and apply the division lemma to get

149 = 134 x 1 + 15

We consider the new divisor 134 and the new remainder 15,and apply the division lemma to get

134 = 15 x 8 + 14

We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get

15 = 14 x 1 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 432 and 283 is 1

Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(134,15) = HCF(149,134) = HCF(283,149) = HCF(432,283) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 75 > 1, we apply the division lemma to 75 and 1, to get

75 = 1 x 75 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 75 is 1

Notice that 1 = HCF(75,1) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 387 > 1, we apply the division lemma to 387 and 1, to get

387 = 1 x 387 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 387 is 1

Notice that 1 = HCF(387,1) .

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Frequently Asked Questions on HCF of 432, 283, 75, 387 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 432, 283, 75, 387?

Answer: HCF of 432, 283, 75, 387 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 432, 283, 75, 387 using Euclid's Algorithm?

Answer: For arbitrary numbers 432, 283, 75, 387 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.