Highest Common Factor of 3462, 4441 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 3462, 4441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3462, 4441 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 3462, 4441 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 3462, 4441 is 1.

HCF(3462, 4441) = 1

HCF of 3462, 4441 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 3462, 4441 is 1.

Highest Common Factor of 3462,4441 using Euclid's algorithm

Highest Common Factor of 3462,4441 is 1

Step 1: Since 4441 > 3462, we apply the division lemma to 4441 and 3462, to get

4441 = 3462 x 1 + 979

Step 2: Since the reminder 3462 ≠ 0, we apply division lemma to 979 and 3462, to get

3462 = 979 x 3 + 525

Step 3: We consider the new divisor 979 and the new remainder 525, and apply the division lemma to get

979 = 525 x 1 + 454

We consider the new divisor 525 and the new remainder 454,and apply the division lemma to get

525 = 454 x 1 + 71

We consider the new divisor 454 and the new remainder 71,and apply the division lemma to get

454 = 71 x 6 + 28

We consider the new divisor 71 and the new remainder 28,and apply the division lemma to get

71 = 28 x 2 + 15

We consider the new divisor 28 and the new remainder 15,and apply the division lemma to get

28 = 15 x 1 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 3462 and 4441 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(28,15) = HCF(71,28) = HCF(454,71) = HCF(525,454) = HCF(979,525) = HCF(3462,979) = HCF(4441,3462) .

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Frequently Asked Questions on HCF of 3462, 4441 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 3462, 4441?

Answer: HCF of 3462, 4441 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3462, 4441 using Euclid's Algorithm?

Answer: For arbitrary numbers 3462, 4441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.