Highest Common Factor of 587, 374, 301 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, 374, 301 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 587, 374, 301 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, 374, 301 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, 374, 301 is 1.

HCF(587, 374, 301) = 1

HCF of 587, 374, 301 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, 374, 301 is 1.

Highest Common Factor of 587,374,301 using Euclid's algorithm

Highest Common Factor of 587,374,301 is 1

Step 1: Since 587 > 374, we apply the division lemma to 587 and 374, to get

587 = 374 x 1 + 213

Step 2: Since the reminder 374 ≠ 0, we apply division lemma to 213 and 374, to get

374 = 213 x 1 + 161

Step 3: We consider the new divisor 213 and the new remainder 161, and apply the division lemma to get

213 = 161 x 1 + 52

We consider the new divisor 161 and the new remainder 52,and apply the division lemma to get

161 = 52 x 3 + 5

We consider the new divisor 52 and the new remainder 5,and apply the division lemma to get

52 = 5 x 10 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 374 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(52,5) = HCF(161,52) = HCF(213,161) = HCF(374,213) = HCF(587,374) .

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

Step 1: Since 301 > 1, we apply the division lemma to 301 and 1, to get

301 = 1 x 301 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 301 is 1

Notice that 1 = HCF(301,1) .

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Frequently Asked Questions on HCF of 587, 374, 301 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, 374, 301?

Answer: HCF of 587, 374, 301 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 587, 374, 301 using Euclid's Algorithm?

Answer: For arbitrary numbers 587, 374, 301 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.