Highest Common Factor of 628, 867 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 628, 867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 628, 867 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 628, 867 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 628, 867 is 1.

HCF(628, 867) = 1

HCF of 628, 867 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 628, 867 is 1.

Highest Common Factor of 628,867 using Euclid's algorithm

Highest Common Factor of 628,867 is 1

Step 1: Since 867 > 628, we apply the division lemma to 867 and 628, to get

867 = 628 x 1 + 239

Step 2: Since the reminder 628 ≠ 0, we apply division lemma to 239 and 628, to get

628 = 239 x 2 + 150

Step 3: We consider the new divisor 239 and the new remainder 150, and apply the division lemma to get

239 = 150 x 1 + 89

We consider the new divisor 150 and the new remainder 89,and apply the division lemma to get

150 = 89 x 1 + 61

We consider the new divisor 89 and the new remainder 61,and apply the division lemma to get

89 = 61 x 1 + 28

We consider the new divisor 61 and the new remainder 28,and apply the division lemma to get

61 = 28 x 2 + 5

We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get

28 = 5 x 5 + 3

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

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 628 and 867 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(61,28) = HCF(89,61) = HCF(150,89) = HCF(239,150) = HCF(628,239) = HCF(867,628) .

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Frequently Asked Questions on HCF of 628, 867 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 628, 867?

Answer: HCF of 628, 867 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 628, 867 using Euclid's Algorithm?

Answer: For arbitrary numbers 628, 867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.