Highest Common Factor of 9441, 8438 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 9441, 8438 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9441, 8438 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 9441, 8438 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 9441, 8438 is 1.

HCF(9441, 8438) = 1

HCF of 9441, 8438 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 9441, 8438 is 1.

Highest Common Factor of 9441,8438 using Euclid's algorithm

Highest Common Factor of 9441,8438 is 1

Step 1: Since 9441 > 8438, we apply the division lemma to 9441 and 8438, to get

9441 = 8438 x 1 + 1003

Step 2: Since the reminder 8438 ≠ 0, we apply division lemma to 1003 and 8438, to get

8438 = 1003 x 8 + 414

Step 3: We consider the new divisor 1003 and the new remainder 414, and apply the division lemma to get

1003 = 414 x 2 + 175

We consider the new divisor 414 and the new remainder 175,and apply the division lemma to get

414 = 175 x 2 + 64

We consider the new divisor 175 and the new remainder 64,and apply the division lemma to get

175 = 64 x 2 + 47

We consider the new divisor 64 and the new remainder 47,and apply the division lemma to get

64 = 47 x 1 + 17

We consider the new divisor 47 and the new remainder 17,and apply the division lemma to get

47 = 17 x 2 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 9441 and 8438 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(47,17) = HCF(64,47) = HCF(175,64) = HCF(414,175) = HCF(1003,414) = HCF(8438,1003) = HCF(9441,8438) .

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Frequently Asked Questions on HCF of 9441, 8438 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 9441, 8438?

Answer: HCF of 9441, 8438 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9441, 8438 using Euclid's Algorithm?

Answer: For arbitrary numbers 9441, 8438 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.