Highest Common Factor of 570, 893, 451 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 570, 893, 451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 570, 893, 451 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 570, 893, 451 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 570, 893, 451 is 1.

HCF(570, 893, 451) = 1

HCF of 570, 893, 451 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 570, 893, 451 is 1.

Highest Common Factor of 570,893,451 using Euclid's algorithm

Highest Common Factor of 570,893,451 is 1

Step 1: Since 893 > 570, we apply the division lemma to 893 and 570, to get

893 = 570 x 1 + 323

Step 2: Since the reminder 570 ≠ 0, we apply division lemma to 323 and 570, to get

570 = 323 x 1 + 247

Step 3: We consider the new divisor 323 and the new remainder 247, and apply the division lemma to get

323 = 247 x 1 + 76

We consider the new divisor 247 and the new remainder 76,and apply the division lemma to get

247 = 76 x 3 + 19

We consider the new divisor 76 and the new remainder 19,and apply the division lemma to get

76 = 19 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 570 and 893 is 19

Notice that 19 = HCF(76,19) = HCF(247,76) = HCF(323,247) = HCF(570,323) = HCF(893,570) .

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

Step 1: Since 451 > 19, we apply the division lemma to 451 and 19, to get

451 = 19 x 23 + 14

Step 2: Since the reminder 19 ≠ 0, we apply division lemma to 14 and 19, to get

19 = 14 x 1 + 5

Step 3: We consider the new divisor 14 and the new remainder 5, and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 19 and 451 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(451,19) .

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Frequently Asked Questions on HCF of 570, 893, 451 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 570, 893, 451?

Answer: HCF of 570, 893, 451 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 570, 893, 451 using Euclid's Algorithm?

Answer: For arbitrary numbers 570, 893, 451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.