Highest Common Factor of 3336, 5943, 62182 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 3336, 5943, 62182 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3336, 5943, 62182 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 3336, 5943, 62182 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 3336, 5943, 62182 is 1.

HCF(3336, 5943, 62182) = 1

HCF of 3336, 5943, 62182 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 3336, 5943, 62182 is 1.

Highest Common Factor of 3336,5943,62182 using Euclid's algorithm

Highest Common Factor of 3336,5943,62182 is 1

Step 1: Since 5943 > 3336, we apply the division lemma to 5943 and 3336, to get

5943 = 3336 x 1 + 2607

Step 2: Since the reminder 3336 ≠ 0, we apply division lemma to 2607 and 3336, to get

3336 = 2607 x 1 + 729

Step 3: We consider the new divisor 2607 and the new remainder 729, and apply the division lemma to get

2607 = 729 x 3 + 420

We consider the new divisor 729 and the new remainder 420,and apply the division lemma to get

729 = 420 x 1 + 309

We consider the new divisor 420 and the new remainder 309,and apply the division lemma to get

420 = 309 x 1 + 111

We consider the new divisor 309 and the new remainder 111,and apply the division lemma to get

309 = 111 x 2 + 87

We consider the new divisor 111 and the new remainder 87,and apply the division lemma to get

111 = 87 x 1 + 24

We consider the new divisor 87 and the new remainder 24,and apply the division lemma to get

87 = 24 x 3 + 15

We consider the new divisor 24 and the new remainder 15,and apply the division lemma to get

24 = 15 x 1 + 9

We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get

15 = 9 x 1 + 6

We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get

9 = 6 x 1 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3336 and 5943 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(24,15) = HCF(87,24) = HCF(111,87) = HCF(309,111) = HCF(420,309) = HCF(729,420) = HCF(2607,729) = HCF(3336,2607) = HCF(5943,3336) .

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

Step 1: Since 62182 > 3, we apply the division lemma to 62182 and 3, to get

62182 = 3 x 20727 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 62182 is 1

Notice that 1 = HCF(3,1) = HCF(62182,3) .

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Frequently Asked Questions on HCF of 3336, 5943, 62182 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 3336, 5943, 62182?

Answer: HCF of 3336, 5943, 62182 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3336, 5943, 62182 using Euclid's Algorithm?

Answer: For arbitrary numbers 3336, 5943, 62182 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.