Highest Common Factor of 1414, 3595, 22897 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 1414, 3595, 22897 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1414, 3595, 22897 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 1414, 3595, 22897 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 1414, 3595, 22897 is 1.

HCF(1414, 3595, 22897) = 1

HCF of 1414, 3595, 22897 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 1414, 3595, 22897 is 1.

Highest Common Factor of 1414,3595,22897 using Euclid's algorithm

Highest Common Factor of 1414,3595,22897 is 1

Step 1: Since 3595 > 1414, we apply the division lemma to 3595 and 1414, to get

3595 = 1414 x 2 + 767

Step 2: Since the reminder 1414 ≠ 0, we apply division lemma to 767 and 1414, to get

1414 = 767 x 1 + 647

Step 3: We consider the new divisor 767 and the new remainder 647, and apply the division lemma to get

767 = 647 x 1 + 120

We consider the new divisor 647 and the new remainder 120,and apply the division lemma to get

647 = 120 x 5 + 47

We consider the new divisor 120 and the new remainder 47,and apply the division lemma to get

120 = 47 x 2 + 26

We consider the new divisor 47 and the new remainder 26,and apply the division lemma to get

47 = 26 x 1 + 21

We consider the new divisor 26 and the new remainder 21,and apply the division lemma to get

26 = 21 x 1 + 5

We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get

21 = 5 x 4 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1414 and 3595 is 1

Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(47,26) = HCF(120,47) = HCF(647,120) = HCF(767,647) = HCF(1414,767) = HCF(3595,1414) .

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

Step 1: Since 22897 > 1, we apply the division lemma to 22897 and 1, to get

22897 = 1 x 22897 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 22897 is 1

Notice that 1 = HCF(22897,1) .

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Frequently Asked Questions on HCF of 1414, 3595, 22897 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 1414, 3595, 22897?

Answer: HCF of 1414, 3595, 22897 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1414, 3595, 22897 using Euclid's Algorithm?

Answer: For arbitrary numbers 1414, 3595, 22897 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.