Highest Common Factor of 1636, 5841 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 1636, 5841 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1636, 5841 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 1636, 5841 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 1636, 5841 is 1.

HCF(1636, 5841) = 1

HCF of 1636, 5841 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 1636, 5841 is 1.

Highest Common Factor of 1636,5841 using Euclid's algorithm

Highest Common Factor of 1636,5841 is 1

Step 1: Since 5841 > 1636, we apply the division lemma to 5841 and 1636, to get

5841 = 1636 x 3 + 933

Step 2: Since the reminder 1636 ≠ 0, we apply division lemma to 933 and 1636, to get

1636 = 933 x 1 + 703

Step 3: We consider the new divisor 933 and the new remainder 703, and apply the division lemma to get

933 = 703 x 1 + 230

We consider the new divisor 703 and the new remainder 230,and apply the division lemma to get

703 = 230 x 3 + 13

We consider the new divisor 230 and the new remainder 13,and apply the division lemma to get

230 = 13 x 17 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 1636 and 5841 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(230,13) = HCF(703,230) = HCF(933,703) = HCF(1636,933) = HCF(5841,1636) .

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Frequently Asked Questions on HCF of 1636, 5841 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 1636, 5841?

Answer: HCF of 1636, 5841 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1636, 5841 using Euclid's Algorithm?

Answer: For arbitrary numbers 1636, 5841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.