Highest Common Factor of 592, 432, 821 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 592, 432, 821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 592, 432, 821 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 592, 432, 821 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 592, 432, 821 is 1.

HCF(592, 432, 821) = 1

HCF of 592, 432, 821 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 592, 432, 821 is 1.

Highest Common Factor of 592,432,821 using Euclid's algorithm

Highest Common Factor of 592,432,821 is 1

Step 1: Since 592 > 432, we apply the division lemma to 592 and 432, to get

592 = 432 x 1 + 160

Step 2: Since the reminder 432 ≠ 0, we apply division lemma to 160 and 432, to get

432 = 160 x 2 + 112

Step 3: We consider the new divisor 160 and the new remainder 112, and apply the division lemma to get

160 = 112 x 1 + 48

We consider the new divisor 112 and the new remainder 48,and apply the division lemma to get

112 = 48 x 2 + 16

We consider the new divisor 48 and the new remainder 16,and apply the division lemma to get

48 = 16 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 592 and 432 is 16

Notice that 16 = HCF(48,16) = HCF(112,48) = HCF(160,112) = HCF(432,160) = HCF(592,432) .

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

Step 1: Since 821 > 16, we apply the division lemma to 821 and 16, to get

821 = 16 x 51 + 5

Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 5 and 16, to get

16 = 5 x 3 + 1

Step 3: We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 16 and 821 is 1

Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(821,16) .

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Frequently Asked Questions on HCF of 592, 432, 821 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 592, 432, 821?

Answer: HCF of 592, 432, 821 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 592, 432, 821 using Euclid's Algorithm?

Answer: For arbitrary numbers 592, 432, 821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.