Highest Common Factor of 5622, 3311 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 5622, 3311 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5622, 3311 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 5622, 3311 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 5622, 3311 is 1.

HCF(5622, 3311) = 1

HCF of 5622, 3311 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 5622, 3311 is 1.

Highest Common Factor of 5622,3311 using Euclid's algorithm

Highest Common Factor of 5622,3311 is 1

Step 1: Since 5622 > 3311, we apply the division lemma to 5622 and 3311, to get

5622 = 3311 x 1 + 2311

Step 2: Since the reminder 3311 ≠ 0, we apply division lemma to 2311 and 3311, to get

3311 = 2311 x 1 + 1000

Step 3: We consider the new divisor 2311 and the new remainder 1000, and apply the division lemma to get

2311 = 1000 x 2 + 311

We consider the new divisor 1000 and the new remainder 311,and apply the division lemma to get

1000 = 311 x 3 + 67

We consider the new divisor 311 and the new remainder 67,and apply the division lemma to get

311 = 67 x 4 + 43

We consider the new divisor 67 and the new remainder 43,and apply the division lemma to get

67 = 43 x 1 + 24

We consider the new divisor 43 and the new remainder 24,and apply the division lemma to get

43 = 24 x 1 + 19

We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5622 and 3311 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(43,24) = HCF(67,43) = HCF(311,67) = HCF(1000,311) = HCF(2311,1000) = HCF(3311,2311) = HCF(5622,3311) .

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Frequently Asked Questions on HCF of 5622, 3311 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 5622, 3311?

Answer: HCF of 5622, 3311 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5622, 3311 using Euclid's Algorithm?

Answer: For arbitrary numbers 5622, 3311 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.