Highest Common Factor of 4695, 8301, 25835 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 4695, 8301, 25835 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4695, 8301, 25835 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 4695, 8301, 25835 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 4695, 8301, 25835 is 1.

HCF(4695, 8301, 25835) = 1

HCF of 4695, 8301, 25835 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 4695, 8301, 25835 is 1.

Highest Common Factor of 4695,8301,25835 using Euclid's algorithm

Highest Common Factor of 4695,8301,25835 is 1

Step 1: Since 8301 > 4695, we apply the division lemma to 8301 and 4695, to get

8301 = 4695 x 1 + 3606

Step 2: Since the reminder 4695 ≠ 0, we apply division lemma to 3606 and 4695, to get

4695 = 3606 x 1 + 1089

Step 3: We consider the new divisor 3606 and the new remainder 1089, and apply the division lemma to get

3606 = 1089 x 3 + 339

We consider the new divisor 1089 and the new remainder 339,and apply the division lemma to get

1089 = 339 x 3 + 72

We consider the new divisor 339 and the new remainder 72,and apply the division lemma to get

339 = 72 x 4 + 51

We consider the new divisor 72 and the new remainder 51,and apply the division lemma to get

72 = 51 x 1 + 21

We consider the new divisor 51 and the new remainder 21,and apply the division lemma to get

51 = 21 x 2 + 9

We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get

21 = 9 x 2 + 3

We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get

9 = 3 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4695 and 8301 is 3

Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(51,21) = HCF(72,51) = HCF(339,72) = HCF(1089,339) = HCF(3606,1089) = HCF(4695,3606) = HCF(8301,4695) .

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

Step 1: Since 25835 > 3, we apply the division lemma to 25835 and 3, to get

25835 = 3 x 8611 + 2

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

3 = 2 x 1 + 1

Step 3: 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 3 and 25835 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(25835,3) .

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Frequently Asked Questions on HCF of 4695, 8301, 25835 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 4695, 8301, 25835?

Answer: HCF of 4695, 8301, 25835 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4695, 8301, 25835 using Euclid's Algorithm?

Answer: For arbitrary numbers 4695, 8301, 25835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.