Highest Common Factor of 587, 958, 99 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, 958, 99 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 587, 958, 99 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, 958, 99 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, 958, 99 is 1.

HCF(587, 958, 99) = 1

HCF of 587, 958, 99 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, 958, 99 is 1.

Highest Common Factor of 587,958,99 using Euclid's algorithm

Highest Common Factor of 587,958,99 is 1

Step 1: Since 958 > 587, we apply the division lemma to 958 and 587, to get

958 = 587 x 1 + 371

Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 371 and 587, to get

587 = 371 x 1 + 216

Step 3: We consider the new divisor 371 and the new remainder 216, and apply the division lemma to get

371 = 216 x 1 + 155

We consider the new divisor 216 and the new remainder 155,and apply the division lemma to get

216 = 155 x 1 + 61

We consider the new divisor 155 and the new remainder 61,and apply the division lemma to get

155 = 61 x 2 + 33

We consider the new divisor 61 and the new remainder 33,and apply the division lemma to get

61 = 33 x 1 + 28

We consider the new divisor 33 and the new remainder 28,and apply the division lemma to get

33 = 28 x 1 + 5

We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get

28 = 5 x 5 + 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 587 and 958 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(33,28) = HCF(61,33) = HCF(155,61) = HCF(216,155) = HCF(371,216) = HCF(587,371) = HCF(958,587) .

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

Step 1: Since 99 > 1, we apply the division lemma to 99 and 1, to get

99 = 1 x 99 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99 is 1

Notice that 1 = HCF(99,1) .

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Frequently Asked Questions on HCF of 587, 958, 99 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, 958, 99?

Answer: HCF of 587, 958, 99 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 587, 958, 99 using Euclid's Algorithm?

Answer: For arbitrary numbers 587, 958, 99 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.