Highest Common Factor of 4236, 4685 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 4236, 4685 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4236, 4685 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 4236, 4685 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 4236, 4685 is 1.

HCF(4236, 4685) = 1

HCF of 4236, 4685 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 4236, 4685 is 1.

Highest Common Factor of 4236,4685 using Euclid's algorithm

Highest Common Factor of 4236,4685 is 1

Step 1: Since 4685 > 4236, we apply the division lemma to 4685 and 4236, to get

4685 = 4236 x 1 + 449

Step 2: Since the reminder 4236 ≠ 0, we apply division lemma to 449 and 4236, to get

4236 = 449 x 9 + 195

Step 3: We consider the new divisor 449 and the new remainder 195, and apply the division lemma to get

449 = 195 x 2 + 59

We consider the new divisor 195 and the new remainder 59,and apply the division lemma to get

195 = 59 x 3 + 18

We consider the new divisor 59 and the new remainder 18,and apply the division lemma to get

59 = 18 x 3 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 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 4236 and 4685 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(59,18) = HCF(195,59) = HCF(449,195) = HCF(4236,449) = HCF(4685,4236) .

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Frequently Asked Questions on HCF of 4236, 4685 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 4236, 4685?

Answer: HCF of 4236, 4685 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4236, 4685 using Euclid's Algorithm?

Answer: For arbitrary numbers 4236, 4685 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.