Highest Common Factor of 586, 375 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 586, 375 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 586, 375 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 586, 375 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 586, 375 is 1.

HCF(586, 375) = 1

HCF of 586, 375 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 586, 375 is 1.

Highest Common Factor of 586,375 using Euclid's algorithm

Highest Common Factor of 586,375 is 1

Step 1: Since 586 > 375, we apply the division lemma to 586 and 375, to get

586 = 375 x 1 + 211

Step 2: Since the reminder 375 ≠ 0, we apply division lemma to 211 and 375, to get

375 = 211 x 1 + 164

Step 3: We consider the new divisor 211 and the new remainder 164, and apply the division lemma to get

211 = 164 x 1 + 47

We consider the new divisor 164 and the new remainder 47,and apply the division lemma to get

164 = 47 x 3 + 23

We consider the new divisor 47 and the new remainder 23,and apply the division lemma to get

47 = 23 x 2 + 1

We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get

23 = 1 x 23 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 586 and 375 is 1

Notice that 1 = HCF(23,1) = HCF(47,23) = HCF(164,47) = HCF(211,164) = HCF(375,211) = HCF(586,375) .

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Frequently Asked Questions on HCF of 586, 375 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 586, 375?

Answer: HCF of 586, 375 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 586, 375 using Euclid's Algorithm?

Answer: For arbitrary numbers 586, 375 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.