Highest Common Factor of 5773, 8036, 22423 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 5773, 8036, 22423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5773, 8036, 22423 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 5773, 8036, 22423 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 5773, 8036, 22423 is 1.

HCF(5773, 8036, 22423) = 1

HCF of 5773, 8036, 22423 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 5773, 8036, 22423 is 1.

Highest Common Factor of 5773,8036,22423 using Euclid's algorithm

Highest Common Factor of 5773,8036,22423 is 1

Step 1: Since 8036 > 5773, we apply the division lemma to 8036 and 5773, to get

8036 = 5773 x 1 + 2263

Step 2: Since the reminder 5773 ≠ 0, we apply division lemma to 2263 and 5773, to get

5773 = 2263 x 2 + 1247

Step 3: We consider the new divisor 2263 and the new remainder 1247, and apply the division lemma to get

2263 = 1247 x 1 + 1016

We consider the new divisor 1247 and the new remainder 1016,and apply the division lemma to get

1247 = 1016 x 1 + 231

We consider the new divisor 1016 and the new remainder 231,and apply the division lemma to get

1016 = 231 x 4 + 92

We consider the new divisor 231 and the new remainder 92,and apply the division lemma to get

231 = 92 x 2 + 47

We consider the new divisor 92 and the new remainder 47,and apply the division lemma to get

92 = 47 x 1 + 45

We consider the new divisor 47 and the new remainder 45,and apply the division lemma to get

47 = 45 x 1 + 2

We consider the new divisor 45 and the new remainder 2,and apply the division lemma to get

45 = 2 x 22 + 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 5773 and 8036 is 1

Notice that 1 = HCF(2,1) = HCF(45,2) = HCF(47,45) = HCF(92,47) = HCF(231,92) = HCF(1016,231) = HCF(1247,1016) = HCF(2263,1247) = HCF(5773,2263) = HCF(8036,5773) .

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

Step 1: Since 22423 > 1, we apply the division lemma to 22423 and 1, to get

22423 = 1 x 22423 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 22423 is 1

Notice that 1 = HCF(22423,1) .

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Frequently Asked Questions on HCF of 5773, 8036, 22423 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 5773, 8036, 22423?

Answer: HCF of 5773, 8036, 22423 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5773, 8036, 22423 using Euclid's Algorithm?

Answer: For arbitrary numbers 5773, 8036, 22423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.