Highest Common Factor of 3463, 9644 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 3463, 9644 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3463, 9644 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 3463, 9644 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 3463, 9644 is 1.

HCF(3463, 9644) = 1

HCF of 3463, 9644 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 3463, 9644 is 1.

Highest Common Factor of 3463,9644 using Euclid's algorithm

Highest Common Factor of 3463,9644 is 1

Step 1: Since 9644 > 3463, we apply the division lemma to 9644 and 3463, to get

9644 = 3463 x 2 + 2718

Step 2: Since the reminder 3463 ≠ 0, we apply division lemma to 2718 and 3463, to get

3463 = 2718 x 1 + 745

Step 3: We consider the new divisor 2718 and the new remainder 745, and apply the division lemma to get

2718 = 745 x 3 + 483

We consider the new divisor 745 and the new remainder 483,and apply the division lemma to get

745 = 483 x 1 + 262

We consider the new divisor 483 and the new remainder 262,and apply the division lemma to get

483 = 262 x 1 + 221

We consider the new divisor 262 and the new remainder 221,and apply the division lemma to get

262 = 221 x 1 + 41

We consider the new divisor 221 and the new remainder 41,and apply the division lemma to get

221 = 41 x 5 + 16

We consider the new divisor 41 and the new remainder 16,and apply the division lemma to get

41 = 16 x 2 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 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 3463 and 9644 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(41,16) = HCF(221,41) = HCF(262,221) = HCF(483,262) = HCF(745,483) = HCF(2718,745) = HCF(3463,2718) = HCF(9644,3463) .

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Frequently Asked Questions on HCF of 3463, 9644 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 3463, 9644?

Answer: HCF of 3463, 9644 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3463, 9644 using Euclid's Algorithm?

Answer: For arbitrary numbers 3463, 9644 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.