Highest Common Factor of 536, 3617, 7022 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 536, 3617, 7022 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 536, 3617, 7022 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 536, 3617, 7022 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 536, 3617, 7022 is 1.

HCF(536, 3617, 7022) = 1

HCF of 536, 3617, 7022 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 536, 3617, 7022 is 1.

Highest Common Factor of 536,3617,7022 using Euclid's algorithm

Highest Common Factor of 536,3617,7022 is 1

Step 1: Since 3617 > 536, we apply the division lemma to 3617 and 536, to get

3617 = 536 x 6 + 401

Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 401 and 536, to get

536 = 401 x 1 + 135

Step 3: We consider the new divisor 401 and the new remainder 135, and apply the division lemma to get

401 = 135 x 2 + 131

We consider the new divisor 135 and the new remainder 131,and apply the division lemma to get

135 = 131 x 1 + 4

We consider the new divisor 131 and the new remainder 4,and apply the division lemma to get

131 = 4 x 32 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

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

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 536 and 3617 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(131,4) = HCF(135,131) = HCF(401,135) = HCF(536,401) = HCF(3617,536) .

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

Step 1: Since 7022 > 1, we apply the division lemma to 7022 and 1, to get

7022 = 1 x 7022 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7022 is 1

Notice that 1 = HCF(7022,1) .

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Frequently Asked Questions on HCF of 536, 3617, 7022 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 536, 3617, 7022?

Answer: HCF of 536, 3617, 7022 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 536, 3617, 7022 using Euclid's Algorithm?

Answer: For arbitrary numbers 536, 3617, 7022 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.