Highest Common Factor of 4269, 1697, 21953 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 4269, 1697, 21953 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4269, 1697, 21953 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 4269, 1697, 21953 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 4269, 1697, 21953 is 1.

HCF(4269, 1697, 21953) = 1

HCF of 4269, 1697, 21953 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 4269, 1697, 21953 is 1.

Highest Common Factor of 4269,1697,21953 using Euclid's algorithm

Highest Common Factor of 4269,1697,21953 is 1

Step 1: Since 4269 > 1697, we apply the division lemma to 4269 and 1697, to get

4269 = 1697 x 2 + 875

Step 2: Since the reminder 1697 ≠ 0, we apply division lemma to 875 and 1697, to get

1697 = 875 x 1 + 822

Step 3: We consider the new divisor 875 and the new remainder 822, and apply the division lemma to get

875 = 822 x 1 + 53

We consider the new divisor 822 and the new remainder 53,and apply the division lemma to get

822 = 53 x 15 + 27

We consider the new divisor 53 and the new remainder 27,and apply the division lemma to get

53 = 27 x 1 + 26

We consider the new divisor 27 and the new remainder 26,and apply the division lemma to get

27 = 26 x 1 + 1

We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get

26 = 1 x 26 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4269 and 1697 is 1

Notice that 1 = HCF(26,1) = HCF(27,26) = HCF(53,27) = HCF(822,53) = HCF(875,822) = HCF(1697,875) = HCF(4269,1697) .

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

Step 1: Since 21953 > 1, we apply the division lemma to 21953 and 1, to get

21953 = 1 x 21953 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 21953 is 1

Notice that 1 = HCF(21953,1) .

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Frequently Asked Questions on HCF of 4269, 1697, 21953 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 4269, 1697, 21953?

Answer: HCF of 4269, 1697, 21953 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4269, 1697, 21953 using Euclid's Algorithm?

Answer: For arbitrary numbers 4269, 1697, 21953 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.