Highest Common Factor of 7065, 9832 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 7065, 9832 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7065, 9832 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 7065, 9832 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 7065, 9832 is 1.

HCF(7065, 9832) = 1

HCF of 7065, 9832 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7065, 9832 is 1.

Highest Common Factor of 7065,9832 using Euclid's algorithm

Highest Common Factor of 7065,9832 is 1

Step 1: Since 9832 > 7065, we apply the division lemma to 9832 and 7065, to get

9832 = 7065 x 1 + 2767

Step 2: Since the reminder 7065 ≠ 0, we apply division lemma to 2767 and 7065, to get

7065 = 2767 x 2 + 1531

Step 3: We consider the new divisor 2767 and the new remainder 1531, and apply the division lemma to get

2767 = 1531 x 1 + 1236

We consider the new divisor 1531 and the new remainder 1236,and apply the division lemma to get

1531 = 1236 x 1 + 295

We consider the new divisor 1236 and the new remainder 295,and apply the division lemma to get

1236 = 295 x 4 + 56

We consider the new divisor 295 and the new remainder 56,and apply the division lemma to get

295 = 56 x 5 + 15

We consider the new divisor 56 and the new remainder 15,and apply the division lemma to get

56 = 15 x 3 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7065 and 9832 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(56,15) = HCF(295,56) = HCF(1236,295) = HCF(1531,1236) = HCF(2767,1531) = HCF(7065,2767) = HCF(9832,7065) .

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Frequently Asked Questions on HCF of 7065, 9832 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 7065, 9832?

Answer: HCF of 7065, 9832 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7065, 9832 using Euclid's Algorithm?

Answer: For arbitrary numbers 7065, 9832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.