Highest Common Factor of 622, 450, 951 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 622, 450, 951 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 622, 450, 951 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 622, 450, 951 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 622, 450, 951 is 1.

HCF(622, 450, 951) = 1

HCF of 622, 450, 951 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 622, 450, 951 is 1.

Highest Common Factor of 622,450,951 using Euclid's algorithm

Highest Common Factor of 622,450,951 is 1

Step 1: Since 622 > 450, we apply the division lemma to 622 and 450, to get

622 = 450 x 1 + 172

Step 2: Since the reminder 450 ≠ 0, we apply division lemma to 172 and 450, to get

450 = 172 x 2 + 106

Step 3: We consider the new divisor 172 and the new remainder 106, and apply the division lemma to get

172 = 106 x 1 + 66

We consider the new divisor 106 and the new remainder 66,and apply the division lemma to get

106 = 66 x 1 + 40

We consider the new divisor 66 and the new remainder 40,and apply the division lemma to get

66 = 40 x 1 + 26

We consider the new divisor 40 and the new remainder 26,and apply the division lemma to get

40 = 26 x 1 + 14

We consider the new divisor 26 and the new remainder 14,and apply the division lemma to get

26 = 14 x 1 + 12

We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get

14 = 12 x 1 + 2

We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get

12 = 2 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 622 and 450 is 2

Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(26,14) = HCF(40,26) = HCF(66,40) = HCF(106,66) = HCF(172,106) = HCF(450,172) = HCF(622,450) .

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

Step 1: Since 951 > 2, we apply the division lemma to 951 and 2, to get

951 = 2 x 475 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 951 is 1

Notice that 1 = HCF(2,1) = HCF(951,2) .

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Frequently Asked Questions on HCF of 622, 450, 951 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 622, 450, 951?

Answer: HCF of 622, 450, 951 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 622, 450, 951 using Euclid's Algorithm?

Answer: For arbitrary numbers 622, 450, 951 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.