Highest Common Factor of 3067, 8047 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 3067, 8047 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3067, 8047 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 3067, 8047 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 3067, 8047 is 1.

HCF(3067, 8047) = 1

HCF of 3067, 8047 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 3067, 8047 is 1.

Highest Common Factor of 3067,8047 using Euclid's algorithm

Highest Common Factor of 3067,8047 is 1

Step 1: Since 8047 > 3067, we apply the division lemma to 8047 and 3067, to get

8047 = 3067 x 2 + 1913

Step 2: Since the reminder 3067 ≠ 0, we apply division lemma to 1913 and 3067, to get

3067 = 1913 x 1 + 1154

Step 3: We consider the new divisor 1913 and the new remainder 1154, and apply the division lemma to get

1913 = 1154 x 1 + 759

We consider the new divisor 1154 and the new remainder 759,and apply the division lemma to get

1154 = 759 x 1 + 395

We consider the new divisor 759 and the new remainder 395,and apply the division lemma to get

759 = 395 x 1 + 364

We consider the new divisor 395 and the new remainder 364,and apply the division lemma to get

395 = 364 x 1 + 31

We consider the new divisor 364 and the new remainder 31,and apply the division lemma to get

364 = 31 x 11 + 23

We consider the new divisor 31 and the new remainder 23,and apply the division lemma to get

31 = 23 x 1 + 8

We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get

23 = 8 x 2 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3067 and 8047 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(31,23) = HCF(364,31) = HCF(395,364) = HCF(759,395) = HCF(1154,759) = HCF(1913,1154) = HCF(3067,1913) = HCF(8047,3067) .

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Frequently Asked Questions on HCF of 3067, 8047 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 3067, 8047?

Answer: HCF of 3067, 8047 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3067, 8047 using Euclid's Algorithm?

Answer: For arbitrary numbers 3067, 8047 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.