Highest Common Factor of 4636, 8390, 39057 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 4636, 8390, 39057 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4636, 8390, 39057 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 4636, 8390, 39057 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 4636, 8390, 39057 is 1.

HCF(4636, 8390, 39057) = 1

HCF of 4636, 8390, 39057 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 4636, 8390, 39057 is 1.

Highest Common Factor of 4636,8390,39057 using Euclid's algorithm

Highest Common Factor of 4636,8390,39057 is 1

Step 1: Since 8390 > 4636, we apply the division lemma to 8390 and 4636, to get

8390 = 4636 x 1 + 3754

Step 2: Since the reminder 4636 ≠ 0, we apply division lemma to 3754 and 4636, to get

4636 = 3754 x 1 + 882

Step 3: We consider the new divisor 3754 and the new remainder 882, and apply the division lemma to get

3754 = 882 x 4 + 226

We consider the new divisor 882 and the new remainder 226,and apply the division lemma to get

882 = 226 x 3 + 204

We consider the new divisor 226 and the new remainder 204,and apply the division lemma to get

226 = 204 x 1 + 22

We consider the new divisor 204 and the new remainder 22,and apply the division lemma to get

204 = 22 x 9 + 6

We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get

22 = 6 x 3 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4636 and 8390 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(204,22) = HCF(226,204) = HCF(882,226) = HCF(3754,882) = HCF(4636,3754) = HCF(8390,4636) .

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

Step 1: Since 39057 > 2, we apply the division lemma to 39057 and 2, to get

39057 = 2 x 19528 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 39057 is 1

Notice that 1 = HCF(2,1) = HCF(39057,2) .

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Frequently Asked Questions on HCF of 4636, 8390, 39057 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 4636, 8390, 39057?

Answer: HCF of 4636, 8390, 39057 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4636, 8390, 39057 using Euclid's Algorithm?

Answer: For arbitrary numbers 4636, 8390, 39057 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.