Highest Common Factor of 587, 893, 350 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, 893, 350 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 587, 893, 350 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, 893, 350 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, 893, 350 is 1.

HCF(587, 893, 350) = 1

HCF of 587, 893, 350 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, 893, 350 is 1.

Highest Common Factor of 587,893,350 using Euclid's algorithm

Highest Common Factor of 587,893,350 is 1

Step 1: Since 893 > 587, we apply the division lemma to 893 and 587, to get

893 = 587 x 1 + 306

Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 306 and 587, to get

587 = 306 x 1 + 281

Step 3: We consider the new divisor 306 and the new remainder 281, and apply the division lemma to get

306 = 281 x 1 + 25

We consider the new divisor 281 and the new remainder 25,and apply the division lemma to get

281 = 25 x 11 + 6

We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get

25 = 6 x 4 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 587 and 893 is 1

Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(281,25) = HCF(306,281) = HCF(587,306) = HCF(893,587) .

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

Step 1: Since 350 > 1, we apply the division lemma to 350 and 1, to get

350 = 1 x 350 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 350 is 1

Notice that 1 = HCF(350,1) .

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Frequently Asked Questions on HCF of 587, 893, 350 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, 893, 350?

Answer: HCF of 587, 893, 350 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 587, 893, 350 using Euclid's Algorithm?

Answer: For arbitrary numbers 587, 893, 350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.