Highest Common Factor of 587, 8286, 8160 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 587, 8286, 8160 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 587, 8286, 8160 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 587, 8286, 8160 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 587, 8286, 8160 is 1.

HCF(587, 8286, 8160) = 1

HCF of 587, 8286, 8160 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 587, 8286, 8160 is 1.

Highest Common Factor of 587,8286,8160 using Euclid's algorithm

Highest Common Factor of 587,8286,8160 is 1

Step 1: Since 8286 > 587, we apply the division lemma to 8286 and 587, to get

8286 = 587 x 14 + 68

Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 68 and 587, to get

587 = 68 x 8 + 43

Step 3: We consider the new divisor 68 and the new remainder 43, and apply the division lemma to get

68 = 43 x 1 + 25

We consider the new divisor 43 and the new remainder 25,and apply the division lemma to get

43 = 25 x 1 + 18

We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get

25 = 18 x 1 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 587 and 8286 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(43,25) = HCF(68,43) = HCF(587,68) = HCF(8286,587) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 8160 > 1, we apply the division lemma to 8160 and 1, to get

8160 = 1 x 8160 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8160 is 1

Notice that 1 = HCF(8160,1) .

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Frequently Asked Questions on HCF of 587, 8286, 8160 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 587, 8286, 8160?

Answer: HCF of 587, 8286, 8160 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 587, 8286, 8160 using Euclid's Algorithm?

Answer: For arbitrary numbers 587, 8286, 8160 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.