Highest Common Factor of 5889, 2033, 92749 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 5889, 2033, 92749 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5889, 2033, 92749 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 5889, 2033, 92749 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 5889, 2033, 92749 is 1.

HCF(5889, 2033, 92749) = 1

HCF of 5889, 2033, 92749 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 5889, 2033, 92749 is 1.

Highest Common Factor of 5889,2033,92749 using Euclid's algorithm

Highest Common Factor of 5889,2033,92749 is 1

Step 1: Since 5889 > 2033, we apply the division lemma to 5889 and 2033, to get

5889 = 2033 x 2 + 1823

Step 2: Since the reminder 2033 ≠ 0, we apply division lemma to 1823 and 2033, to get

2033 = 1823 x 1 + 210

Step 3: We consider the new divisor 1823 and the new remainder 210, and apply the division lemma to get

1823 = 210 x 8 + 143

We consider the new divisor 210 and the new remainder 143,and apply the division lemma to get

210 = 143 x 1 + 67

We consider the new divisor 143 and the new remainder 67,and apply the division lemma to get

143 = 67 x 2 + 9

We consider the new divisor 67 and the new remainder 9,and apply the division lemma to get

67 = 9 x 7 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5889 and 2033 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(67,9) = HCF(143,67) = HCF(210,143) = HCF(1823,210) = HCF(2033,1823) = HCF(5889,2033) .

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

Step 1: Since 92749 > 1, we apply the division lemma to 92749 and 1, to get

92749 = 1 x 92749 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92749 is 1

Notice that 1 = HCF(92749,1) .

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Frequently Asked Questions on HCF of 5889, 2033, 92749 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 5889, 2033, 92749?

Answer: HCF of 5889, 2033, 92749 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5889, 2033, 92749 using Euclid's Algorithm?

Answer: For arbitrary numbers 5889, 2033, 92749 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.