Highest Common Factor of 5928, 8862, 92153 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 5928, 8862, 92153 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5928, 8862, 92153 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 5928, 8862, 92153 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 5928, 8862, 92153 is 1.

HCF(5928, 8862, 92153) = 1

HCF of 5928, 8862, 92153 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 5928, 8862, 92153 is 1.

Highest Common Factor of 5928,8862,92153 using Euclid's algorithm

Highest Common Factor of 5928,8862,92153 is 1

Step 1: Since 8862 > 5928, we apply the division lemma to 8862 and 5928, to get

8862 = 5928 x 1 + 2934

Step 2: Since the reminder 5928 ≠ 0, we apply division lemma to 2934 and 5928, to get

5928 = 2934 x 2 + 60

Step 3: We consider the new divisor 2934 and the new remainder 60, and apply the division lemma to get

2934 = 60 x 48 + 54

We consider the new divisor 60 and the new remainder 54,and apply the division lemma to get

60 = 54 x 1 + 6

We consider the new divisor 54 and the new remainder 6,and apply the division lemma to get

54 = 6 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5928 and 8862 is 6

Notice that 6 = HCF(54,6) = HCF(60,54) = HCF(2934,60) = HCF(5928,2934) = HCF(8862,5928) .

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

Step 1: Since 92153 > 6, we apply the division lemma to 92153 and 6, to get

92153 = 6 x 15358 + 5

Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 5 and 6, to get

6 = 5 x 1 + 1

Step 3: 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 6 and 92153 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(92153,6) .

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Frequently Asked Questions on HCF of 5928, 8862, 92153 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 5928, 8862, 92153?

Answer: HCF of 5928, 8862, 92153 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5928, 8862, 92153 using Euclid's Algorithm?

Answer: For arbitrary numbers 5928, 8862, 92153 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.