Highest Common Factor of 3447, 9387 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 3447, 9387 i.e. 9 the largest integer that leaves a remainder zero for all numbers.

HCF of 3447, 9387 is 9 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 3447, 9387 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 3447, 9387 is 9.

HCF(3447, 9387) = 9

HCF of 3447, 9387 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 3447, 9387 is 9.

Highest Common Factor of 3447,9387 using Euclid's algorithm

Highest Common Factor of 3447,9387 is 9

Step 1: Since 9387 > 3447, we apply the division lemma to 9387 and 3447, to get

9387 = 3447 x 2 + 2493

Step 2: Since the reminder 3447 ≠ 0, we apply division lemma to 2493 and 3447, to get

3447 = 2493 x 1 + 954

Step 3: We consider the new divisor 2493 and the new remainder 954, and apply the division lemma to get

2493 = 954 x 2 + 585

We consider the new divisor 954 and the new remainder 585,and apply the division lemma to get

954 = 585 x 1 + 369

We consider the new divisor 585 and the new remainder 369,and apply the division lemma to get

585 = 369 x 1 + 216

We consider the new divisor 369 and the new remainder 216,and apply the division lemma to get

369 = 216 x 1 + 153

We consider the new divisor 216 and the new remainder 153,and apply the division lemma to get

216 = 153 x 1 + 63

We consider the new divisor 153 and the new remainder 63,and apply the division lemma to get

153 = 63 x 2 + 27

We consider the new divisor 63 and the new remainder 27,and apply the division lemma to get

63 = 27 x 2 + 9

We consider the new divisor 27 and the new remainder 9,and apply the division lemma to get

27 = 9 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 3447 and 9387 is 9

Notice that 9 = HCF(27,9) = HCF(63,27) = HCF(153,63) = HCF(216,153) = HCF(369,216) = HCF(585,369) = HCF(954,585) = HCF(2493,954) = HCF(3447,2493) = HCF(9387,3447) .

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Frequently Asked Questions on HCF of 3447, 9387 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 3447, 9387?

Answer: HCF of 3447, 9387 is 9 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3447, 9387 using Euclid's Algorithm?

Answer: For arbitrary numbers 3447, 9387 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.