Highest Common Factor of 611, 1833, 8436 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 611, 1833, 8436 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 611, 1833, 8436 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 611, 1833, 8436 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 611, 1833, 8436 is 1.

HCF(611, 1833, 8436) = 1

HCF of 611, 1833, 8436 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 611, 1833, 8436 is 1.

Highest Common Factor of 611,1833,8436 using Euclid's algorithm

Highest Common Factor of 611,1833,8436 is 1

Step 1: Since 1833 > 611, we apply the division lemma to 1833 and 611, to get

1833 = 611 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 611, the HCF of 611 and 1833 is 611

Notice that 611 = HCF(1833,611) .

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

Step 1: Since 8436 > 611, we apply the division lemma to 8436 and 611, to get

8436 = 611 x 13 + 493

Step 2: Since the reminder 611 ≠ 0, we apply division lemma to 493 and 611, to get

611 = 493 x 1 + 118

Step 3: We consider the new divisor 493 and the new remainder 118, and apply the division lemma to get

493 = 118 x 4 + 21

We consider the new divisor 118 and the new remainder 21,and apply the division lemma to get

118 = 21 x 5 + 13

We consider the new divisor 21 and the new remainder 13,and apply the division lemma to get

21 = 13 x 1 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 611 and 8436 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(21,13) = HCF(118,21) = HCF(493,118) = HCF(611,493) = HCF(8436,611) .

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Frequently Asked Questions on HCF of 611, 1833, 8436 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 611, 1833, 8436?

Answer: HCF of 611, 1833, 8436 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 611, 1833, 8436 using Euclid's Algorithm?

Answer: For arbitrary numbers 611, 1833, 8436 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.