Highest Common Factor of 9443, 3592 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 9443, 3592 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9443, 3592 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 9443, 3592 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 9443, 3592 is 1.

HCF(9443, 3592) = 1

HCF of 9443, 3592 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 9443, 3592 is 1.

Highest Common Factor of 9443,3592 using Euclid's algorithm

Highest Common Factor of 9443,3592 is 1

Step 1: Since 9443 > 3592, we apply the division lemma to 9443 and 3592, to get

9443 = 3592 x 2 + 2259

Step 2: Since the reminder 3592 ≠ 0, we apply division lemma to 2259 and 3592, to get

3592 = 2259 x 1 + 1333

Step 3: We consider the new divisor 2259 and the new remainder 1333, and apply the division lemma to get

2259 = 1333 x 1 + 926

We consider the new divisor 1333 and the new remainder 926,and apply the division lemma to get

1333 = 926 x 1 + 407

We consider the new divisor 926 and the new remainder 407,and apply the division lemma to get

926 = 407 x 2 + 112

We consider the new divisor 407 and the new remainder 112,and apply the division lemma to get

407 = 112 x 3 + 71

We consider the new divisor 112 and the new remainder 71,and apply the division lemma to get

112 = 71 x 1 + 41

We consider the new divisor 71 and the new remainder 41,and apply the division lemma to get

71 = 41 x 1 + 30

We consider the new divisor 41 and the new remainder 30,and apply the division lemma to get

41 = 30 x 1 + 11

We consider the new divisor 30 and the new remainder 11,and apply the division lemma to get

30 = 11 x 2 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

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

3 = 2 x 1 + 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 9443 and 3592 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(30,11) = HCF(41,30) = HCF(71,41) = HCF(112,71) = HCF(407,112) = HCF(926,407) = HCF(1333,926) = HCF(2259,1333) = HCF(3592,2259) = HCF(9443,3592) .

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Frequently Asked Questions on HCF of 9443, 3592 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 9443, 3592?

Answer: HCF of 9443, 3592 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9443, 3592 using Euclid's Algorithm?

Answer: For arbitrary numbers 9443, 3592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.