Highest Common Factor of 4823, 4467, 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 4823, 4467, 92153 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4823, 4467, 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 4823, 4467, 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 4823, 4467, 92153 is 1.

HCF(4823, 4467, 92153) = 1

HCF of 4823, 4467, 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 4823, 4467, 92153 is 1.

Highest Common Factor of 4823,4467,92153 using Euclid's algorithm

Highest Common Factor of 4823,4467,92153 is 1

Step 1: Since 4823 > 4467, we apply the division lemma to 4823 and 4467, to get

4823 = 4467 x 1 + 356

Step 2: Since the reminder 4467 ≠ 0, we apply division lemma to 356 and 4467, to get

4467 = 356 x 12 + 195

Step 3: We consider the new divisor 356 and the new remainder 195, and apply the division lemma to get

356 = 195 x 1 + 161

We consider the new divisor 195 and the new remainder 161,and apply the division lemma to get

195 = 161 x 1 + 34

We consider the new divisor 161 and the new remainder 34,and apply the division lemma to get

161 = 34 x 4 + 25

We consider the new divisor 34 and the new remainder 25,and apply the division lemma to get

34 = 25 x 1 + 9

We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get

25 = 9 x 2 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 4823 and 4467 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(34,25) = HCF(161,34) = HCF(195,161) = HCF(356,195) = HCF(4467,356) = HCF(4823,4467) .

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

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

92153 = 1 x 92153 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92153 is 1

Notice that 1 = HCF(92153,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 4823, 4467, 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 4823, 4467, 92153?

Answer: HCF of 4823, 4467, 92153 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4823, 4467, 92153 using Euclid's Algorithm?

Answer: For arbitrary numbers 4823, 4467, 92153 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.