Highest Common Factor of 9463, 5433 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 9463, 5433 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9463, 5433 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 9463, 5433 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 9463, 5433 is 1.

HCF(9463, 5433) = 1

HCF of 9463, 5433 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 9463, 5433 is 1.

Highest Common Factor of 9463,5433 using Euclid's algorithm

Highest Common Factor of 9463,5433 is 1

Step 1: Since 9463 > 5433, we apply the division lemma to 9463 and 5433, to get

9463 = 5433 x 1 + 4030

Step 2: Since the reminder 5433 ≠ 0, we apply division lemma to 4030 and 5433, to get

5433 = 4030 x 1 + 1403

Step 3: We consider the new divisor 4030 and the new remainder 1403, and apply the division lemma to get

4030 = 1403 x 2 + 1224

We consider the new divisor 1403 and the new remainder 1224,and apply the division lemma to get

1403 = 1224 x 1 + 179

We consider the new divisor 1224 and the new remainder 179,and apply the division lemma to get

1224 = 179 x 6 + 150

We consider the new divisor 179 and the new remainder 150,and apply the division lemma to get

179 = 150 x 1 + 29

We consider the new divisor 150 and the new remainder 29,and apply the division lemma to get

150 = 29 x 5 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 9463 and 5433 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(150,29) = HCF(179,150) = HCF(1224,179) = HCF(1403,1224) = HCF(4030,1403) = HCF(5433,4030) = HCF(9463,5433) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 9463, 5433 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 9463, 5433?

Answer: HCF of 9463, 5433 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9463, 5433 using Euclid's Algorithm?

Answer: For arbitrary numbers 9463, 5433 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.