Highest Common Factor of 767, 423 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 767, 423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 767, 423 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 767, 423 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 767, 423 is 1.

HCF(767, 423) = 1

HCF of 767, 423 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 767, 423 is 1.

Highest Common Factor of 767,423 using Euclid's algorithm

Highest Common Factor of 767,423 is 1

Step 1: Since 767 > 423, we apply the division lemma to 767 and 423, to get

767 = 423 x 1 + 344

Step 2: Since the reminder 423 ≠ 0, we apply division lemma to 344 and 423, to get

423 = 344 x 1 + 79

Step 3: We consider the new divisor 344 and the new remainder 79, and apply the division lemma to get

344 = 79 x 4 + 28

We consider the new divisor 79 and the new remainder 28,and apply the division lemma to get

79 = 28 x 2 + 23

We consider the new divisor 28 and the new remainder 23,and apply the division lemma to get

28 = 23 x 1 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 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 767 and 423 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(28,23) = HCF(79,28) = HCF(344,79) = HCF(423,344) = HCF(767,423) .

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Frequently Asked Questions on HCF of 767, 423 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 767, 423?

Answer: HCF of 767, 423 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 767, 423 using Euclid's Algorithm?

Answer: For arbitrary numbers 767, 423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.