Highest Common Factor of 8067, 829 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 8067, 829 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8067, 829 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 8067, 829 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 8067, 829 is 1.

HCF(8067, 829) = 1

HCF of 8067, 829 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 8067, 829 is 1.

Highest Common Factor of 8067,829 using Euclid's algorithm

Highest Common Factor of 8067,829 is 1

Step 1: Since 8067 > 829, we apply the division lemma to 8067 and 829, to get

8067 = 829 x 9 + 606

Step 2: Since the reminder 829 ≠ 0, we apply division lemma to 606 and 829, to get

829 = 606 x 1 + 223

Step 3: We consider the new divisor 606 and the new remainder 223, and apply the division lemma to get

606 = 223 x 2 + 160

We consider the new divisor 223 and the new remainder 160,and apply the division lemma to get

223 = 160 x 1 + 63

We consider the new divisor 160 and the new remainder 63,and apply the division lemma to get

160 = 63 x 2 + 34

We consider the new divisor 63 and the new remainder 34,and apply the division lemma to get

63 = 34 x 1 + 29

We consider the new divisor 34 and the new remainder 29,and apply the division lemma to get

34 = 29 x 1 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8067 and 829 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(34,29) = HCF(63,34) = HCF(160,63) = HCF(223,160) = HCF(606,223) = HCF(829,606) = HCF(8067,829) .

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Frequently Asked Questions on HCF of 8067, 829 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 8067, 829?

Answer: HCF of 8067, 829 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8067, 829 using Euclid's Algorithm?

Answer: For arbitrary numbers 8067, 829 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.