Highest Common Factor of 606, 8084, 5175 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 606, 8084, 5175 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 606, 8084, 5175 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 606, 8084, 5175 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 606, 8084, 5175 is 1.

HCF(606, 8084, 5175) = 1

HCF of 606, 8084, 5175 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 606, 8084, 5175 is 1.

Highest Common Factor of 606,8084,5175 using Euclid's algorithm

Highest Common Factor of 606,8084,5175 is 1

Step 1: Since 8084 > 606, we apply the division lemma to 8084 and 606, to get

8084 = 606 x 13 + 206

Step 2: Since the reminder 606 ≠ 0, we apply division lemma to 206 and 606, to get

606 = 206 x 2 + 194

Step 3: We consider the new divisor 206 and the new remainder 194, and apply the division lemma to get

206 = 194 x 1 + 12

We consider the new divisor 194 and the new remainder 12,and apply the division lemma to get

194 = 12 x 16 + 2

We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get

12 = 2 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 606 and 8084 is 2

Notice that 2 = HCF(12,2) = HCF(194,12) = HCF(206,194) = HCF(606,206) = HCF(8084,606) .

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

Step 1: Since 5175 > 2, we apply the division lemma to 5175 and 2, to get

5175 = 2 x 2587 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 5175 is 1

Notice that 1 = HCF(2,1) = HCF(5175,2) .

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Frequently Asked Questions on HCF of 606, 8084, 5175 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 606, 8084, 5175?

Answer: HCF of 606, 8084, 5175 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 606, 8084, 5175 using Euclid's Algorithm?

Answer: For arbitrary numbers 606, 8084, 5175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.