Highest Common Factor of 587, 348, 974 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, 348, 974 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 587, 348, 974 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, 348, 974 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, 348, 974 is 1.

HCF(587, 348, 974) = 1

HCF of 587, 348, 974 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, 348, 974 is 1.

Highest Common Factor of 587,348,974 using Euclid's algorithm

Highest Common Factor of 587,348,974 is 1

Step 1: Since 587 > 348, we apply the division lemma to 587 and 348, to get

587 = 348 x 1 + 239

Step 2: Since the reminder 348 ≠ 0, we apply division lemma to 239 and 348, to get

348 = 239 x 1 + 109

Step 3: We consider the new divisor 239 and the new remainder 109, and apply the division lemma to get

239 = 109 x 2 + 21

We consider the new divisor 109 and the new remainder 21,and apply the division lemma to get

109 = 21 x 5 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 587 and 348 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(109,21) = HCF(239,109) = HCF(348,239) = HCF(587,348) .

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

Step 1: Since 974 > 1, we apply the division lemma to 974 and 1, to get

974 = 1 x 974 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 974 is 1

Notice that 1 = HCF(974,1) .

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Frequently Asked Questions on HCF of 587, 348, 974 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, 348, 974?

Answer: HCF of 587, 348, 974 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 587, 348, 974 using Euclid's Algorithm?

Answer: For arbitrary numbers 587, 348, 974 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.