Highest Common Factor of 7326, 3067 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 7326, 3067 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7326, 3067 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 7326, 3067 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 7326, 3067 is 1.

HCF(7326, 3067) = 1

HCF of 7326, 3067 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 7326, 3067 is 1.

Highest Common Factor of 7326,3067 using Euclid's algorithm

Highest Common Factor of 7326,3067 is 1

Step 1: Since 7326 > 3067, we apply the division lemma to 7326 and 3067, to get

7326 = 3067 x 2 + 1192

Step 2: Since the reminder 3067 ≠ 0, we apply division lemma to 1192 and 3067, to get

3067 = 1192 x 2 + 683

Step 3: We consider the new divisor 1192 and the new remainder 683, and apply the division lemma to get

1192 = 683 x 1 + 509

We consider the new divisor 683 and the new remainder 509,and apply the division lemma to get

683 = 509 x 1 + 174

We consider the new divisor 509 and the new remainder 174,and apply the division lemma to get

509 = 174 x 2 + 161

We consider the new divisor 174 and the new remainder 161,and apply the division lemma to get

174 = 161 x 1 + 13

We consider the new divisor 161 and the new remainder 13,and apply the division lemma to get

161 = 13 x 12 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 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 7326 and 3067 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(161,13) = HCF(174,161) = HCF(509,174) = HCF(683,509) = HCF(1192,683) = HCF(3067,1192) = HCF(7326,3067) .

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Frequently Asked Questions on HCF of 7326, 3067 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 7326, 3067?

Answer: HCF of 7326, 3067 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7326, 3067 using Euclid's Algorithm?

Answer: For arbitrary numbers 7326, 3067 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.