Highest Common Factor of 609, 341, 87 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 609, 341, 87 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 609, 341, 87 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 609, 341, 87 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 609, 341, 87 is 1.

HCF(609, 341, 87) = 1

HCF of 609, 341, 87 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 609, 341, 87 is 1.

Highest Common Factor of 609,341,87 using Euclid's algorithm

Highest Common Factor of 609,341,87 is 1

Step 1: Since 609 > 341, we apply the division lemma to 609 and 341, to get

609 = 341 x 1 + 268

Step 2: Since the reminder 341 ≠ 0, we apply division lemma to 268 and 341, to get

341 = 268 x 1 + 73

Step 3: We consider the new divisor 268 and the new remainder 73, and apply the division lemma to get

268 = 73 x 3 + 49

We consider the new divisor 73 and the new remainder 49,and apply the division lemma to get

73 = 49 x 1 + 24

We consider the new divisor 49 and the new remainder 24,and apply the division lemma to get

49 = 24 x 2 + 1

We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get

24 = 1 x 24 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 609 and 341 is 1

Notice that 1 = HCF(24,1) = HCF(49,24) = HCF(73,49) = HCF(268,73) = HCF(341,268) = HCF(609,341) .

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

Step 1: Since 87 > 1, we apply the division lemma to 87 and 1, to get

87 = 1 x 87 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87 is 1

Notice that 1 = HCF(87,1) .

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Frequently Asked Questions on HCF of 609, 341, 87 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 609, 341, 87?

Answer: HCF of 609, 341, 87 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 609, 341, 87 using Euclid's Algorithm?

Answer: For arbitrary numbers 609, 341, 87 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.