Highest Common Factor of 362, 989 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 362, 989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 362, 989 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 362, 989 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 362, 989 is 1.

HCF(362, 989) = 1

HCF of 362, 989 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 362, 989 is 1.

Highest Common Factor of 362,989 using Euclid's algorithm

Highest Common Factor of 362,989 is 1

Step 1: Since 989 > 362, we apply the division lemma to 989 and 362, to get

989 = 362 x 2 + 265

Step 2: Since the reminder 362 ≠ 0, we apply division lemma to 265 and 362, to get

362 = 265 x 1 + 97

Step 3: We consider the new divisor 265 and the new remainder 97, and apply the division lemma to get

265 = 97 x 2 + 71

We consider the new divisor 97 and the new remainder 71,and apply the division lemma to get

97 = 71 x 1 + 26

We consider the new divisor 71 and the new remainder 26,and apply the division lemma to get

71 = 26 x 2 + 19

We consider the new divisor 26 and the new remainder 19,and apply the division lemma to get

26 = 19 x 1 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 362 and 989 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(26,19) = HCF(71,26) = HCF(97,71) = HCF(265,97) = HCF(362,265) = HCF(989,362) .

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Frequently Asked Questions on HCF of 362, 989 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 362, 989?

Answer: HCF of 362, 989 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 362, 989 using Euclid's Algorithm?

Answer: For arbitrary numbers 362, 989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.