Highest Common Factor of 968, 595, 17 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 968, 595, 17 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 968, 595, 17 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 968, 595, 17 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 968, 595, 17 is 1.

HCF(968, 595, 17) = 1

HCF of 968, 595, 17 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 968, 595, 17 is 1.

Highest Common Factor of 968,595,17 using Euclid's algorithm

Highest Common Factor of 968,595,17 is 1

Step 1: Since 968 > 595, we apply the division lemma to 968 and 595, to get

968 = 595 x 1 + 373

Step 2: Since the reminder 595 ≠ 0, we apply division lemma to 373 and 595, to get

595 = 373 x 1 + 222

Step 3: We consider the new divisor 373 and the new remainder 222, and apply the division lemma to get

373 = 222 x 1 + 151

We consider the new divisor 222 and the new remainder 151,and apply the division lemma to get

222 = 151 x 1 + 71

We consider the new divisor 151 and the new remainder 71,and apply the division lemma to get

151 = 71 x 2 + 9

We consider the new divisor 71 and the new remainder 9,and apply the division lemma to get

71 = 9 x 7 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 968 and 595 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(71,9) = HCF(151,71) = HCF(222,151) = HCF(373,222) = HCF(595,373) = HCF(968,595) .

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

Step 1: Since 17 > 1, we apply the division lemma to 17 and 1, to get

17 = 1 x 17 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17 is 1

Notice that 1 = HCF(17,1) .

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Frequently Asked Questions on HCF of 968, 595, 17 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 968, 595, 17?

Answer: HCF of 968, 595, 17 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 968, 595, 17 using Euclid's Algorithm?

Answer: For arbitrary numbers 968, 595, 17 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.