Highest Common Factor of 9067, 5791 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 9067, 5791 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9067, 5791 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 9067, 5791 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 9067, 5791 is 1.

HCF(9067, 5791) = 1

HCF of 9067, 5791 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 9067, 5791 is 1.

Highest Common Factor of 9067,5791 using Euclid's algorithm

Highest Common Factor of 9067,5791 is 1

Step 1: Since 9067 > 5791, we apply the division lemma to 9067 and 5791, to get

9067 = 5791 x 1 + 3276

Step 2: Since the reminder 5791 ≠ 0, we apply division lemma to 3276 and 5791, to get

5791 = 3276 x 1 + 2515

Step 3: We consider the new divisor 3276 and the new remainder 2515, and apply the division lemma to get

3276 = 2515 x 1 + 761

We consider the new divisor 2515 and the new remainder 761,and apply the division lemma to get

2515 = 761 x 3 + 232

We consider the new divisor 761 and the new remainder 232,and apply the division lemma to get

761 = 232 x 3 + 65

We consider the new divisor 232 and the new remainder 65,and apply the division lemma to get

232 = 65 x 3 + 37

We consider the new divisor 65 and the new remainder 37,and apply the division lemma to get

65 = 37 x 1 + 28

We consider the new divisor 37 and the new remainder 28,and apply the division lemma to get

37 = 28 x 1 + 9

We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get

28 = 9 x 3 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9067 and 5791 is 1

Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(37,28) = HCF(65,37) = HCF(232,65) = HCF(761,232) = HCF(2515,761) = HCF(3276,2515) = HCF(5791,3276) = HCF(9067,5791) .

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Frequently Asked Questions on HCF of 9067, 5791 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 9067, 5791?

Answer: HCF of 9067, 5791 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9067, 5791 using Euclid's Algorithm?

Answer: For arbitrary numbers 9067, 5791 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.