Highest Common Factor of 517, 847, 362 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 517, 847, 362 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 517, 847, 362 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 517, 847, 362 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 517, 847, 362 is 1.

HCF(517, 847, 362) = 1

HCF of 517, 847, 362 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 517, 847, 362 is 1.

Highest Common Factor of 517,847,362 using Euclid's algorithm

Highest Common Factor of 517,847,362 is 1

Step 1: Since 847 > 517, we apply the division lemma to 847 and 517, to get

847 = 517 x 1 + 330

Step 2: Since the reminder 517 ≠ 0, we apply division lemma to 330 and 517, to get

517 = 330 x 1 + 187

Step 3: We consider the new divisor 330 and the new remainder 187, and apply the division lemma to get

330 = 187 x 1 + 143

We consider the new divisor 187 and the new remainder 143,and apply the division lemma to get

187 = 143 x 1 + 44

We consider the new divisor 143 and the new remainder 44,and apply the division lemma to get

143 = 44 x 3 + 11

We consider the new divisor 44 and the new remainder 11,and apply the division lemma to get

44 = 11 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 517 and 847 is 11

Notice that 11 = HCF(44,11) = HCF(143,44) = HCF(187,143) = HCF(330,187) = HCF(517,330) = HCF(847,517) .

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

Step 1: Since 362 > 11, we apply the division lemma to 362 and 11, to get

362 = 11 x 32 + 10

Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 10 and 11, to get

11 = 10 x 1 + 1

Step 3: We consider the new divisor 10 and the new remainder 1, and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 11 and 362 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(362,11) .

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Frequently Asked Questions on HCF of 517, 847, 362 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 517, 847, 362?

Answer: HCF of 517, 847, 362 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 517, 847, 362 using Euclid's Algorithm?

Answer: For arbitrary numbers 517, 847, 362 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.