Highest Common Factor of 985, 599, 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 985, 599, 17 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 985, 599, 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 985, 599, 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 985, 599, 17 is 1.

HCF(985, 599, 17) = 1

HCF of 985, 599, 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 985, 599, 17 is 1.

Highest Common Factor of 985,599,17 using Euclid's algorithm

Highest Common Factor of 985,599,17 is 1

Step 1: Since 985 > 599, we apply the division lemma to 985 and 599, to get

985 = 599 x 1 + 386

Step 2: Since the reminder 599 ≠ 0, we apply division lemma to 386 and 599, to get

599 = 386 x 1 + 213

Step 3: We consider the new divisor 386 and the new remainder 213, and apply the division lemma to get

386 = 213 x 1 + 173

We consider the new divisor 213 and the new remainder 173,and apply the division lemma to get

213 = 173 x 1 + 40

We consider the new divisor 173 and the new remainder 40,and apply the division lemma to get

173 = 40 x 4 + 13

We consider the new divisor 40 and the new remainder 13,and apply the division lemma to get

40 = 13 x 3 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 985 and 599 is 1

Notice that 1 = HCF(13,1) = HCF(40,13) = HCF(173,40) = HCF(213,173) = HCF(386,213) = HCF(599,386) = HCF(985,599) .

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 985, 599, 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 985, 599, 17?

Answer: HCF of 985, 599, 17 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 985, 599, 17 using Euclid's Algorithm?

Answer: For arbitrary numbers 985, 599, 17 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.