Highest Common Factor of 923, 9477, 4158 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 923, 9477, 4158 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 923, 9477, 4158 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 923, 9477, 4158 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 923, 9477, 4158 is 1.

HCF(923, 9477, 4158) = 1

HCF of 923, 9477, 4158 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 923, 9477, 4158 is 1.

Highest Common Factor of 923,9477,4158 using Euclid's algorithm

Highest Common Factor of 923,9477,4158 is 1

Step 1: Since 9477 > 923, we apply the division lemma to 9477 and 923, to get

9477 = 923 x 10 + 247

Step 2: Since the reminder 923 ≠ 0, we apply division lemma to 247 and 923, to get

923 = 247 x 3 + 182

Step 3: We consider the new divisor 247 and the new remainder 182, and apply the division lemma to get

247 = 182 x 1 + 65

We consider the new divisor 182 and the new remainder 65,and apply the division lemma to get

182 = 65 x 2 + 52

We consider the new divisor 65 and the new remainder 52,and apply the division lemma to get

65 = 52 x 1 + 13

We consider the new divisor 52 and the new remainder 13,and apply the division lemma to get

52 = 13 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 923 and 9477 is 13

Notice that 13 = HCF(52,13) = HCF(65,52) = HCF(182,65) = HCF(247,182) = HCF(923,247) = HCF(9477,923) .

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

Step 1: Since 4158 > 13, we apply the division lemma to 4158 and 13, to get

4158 = 13 x 319 + 11

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 11 and 13, to get

13 = 11 x 1 + 2

Step 3: We consider the new divisor 11 and the new remainder 2, and apply the division lemma to get

11 = 2 x 5 + 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 13 and 4158 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(4158,13) .

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Frequently Asked Questions on HCF of 923, 9477, 4158 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 923, 9477, 4158?

Answer: HCF of 923, 9477, 4158 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 923, 9477, 4158 using Euclid's Algorithm?

Answer: For arbitrary numbers 923, 9477, 4158 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.