Highest Common Factor of 967, 590, 655 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 967, 590, 655 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 967, 590, 655 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 967, 590, 655 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 967, 590, 655 is 1.

HCF(967, 590, 655) = 1

HCF of 967, 590, 655 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 967, 590, 655 is 1.

Highest Common Factor of 967,590,655 using Euclid's algorithm

Highest Common Factor of 967,590,655 is 1

Step 1: Since 967 > 590, we apply the division lemma to 967 and 590, to get

967 = 590 x 1 + 377

Step 2: Since the reminder 590 ≠ 0, we apply division lemma to 377 and 590, to get

590 = 377 x 1 + 213

Step 3: We consider the new divisor 377 and the new remainder 213, and apply the division lemma to get

377 = 213 x 1 + 164

We consider the new divisor 213 and the new remainder 164,and apply the division lemma to get

213 = 164 x 1 + 49

We consider the new divisor 164 and the new remainder 49,and apply the division lemma to get

164 = 49 x 3 + 17

We consider the new divisor 49 and the new remainder 17,and apply the division lemma to get

49 = 17 x 2 + 15

We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get

17 = 15 x 1 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 967 and 590 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(49,17) = HCF(164,49) = HCF(213,164) = HCF(377,213) = HCF(590,377) = HCF(967,590) .

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

Step 1: Since 655 > 1, we apply the division lemma to 655 and 1, to get

655 = 1 x 655 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 655 is 1

Notice that 1 = HCF(655,1) .

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Frequently Asked Questions on HCF of 967, 590, 655 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 967, 590, 655?

Answer: HCF of 967, 590, 655 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 967, 590, 655 using Euclid's Algorithm?

Answer: For arbitrary numbers 967, 590, 655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.