Highest Common Factor of 1263, 6753, 43613 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 1263, 6753, 43613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1263, 6753, 43613 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 1263, 6753, 43613 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 1263, 6753, 43613 is 1.

HCF(1263, 6753, 43613) = 1

HCF of 1263, 6753, 43613 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 1263, 6753, 43613 is 1.

Highest Common Factor of 1263,6753,43613 using Euclid's algorithm

Highest Common Factor of 1263,6753,43613 is 1

Step 1: Since 6753 > 1263, we apply the division lemma to 6753 and 1263, to get

6753 = 1263 x 5 + 438

Step 2: Since the reminder 1263 ≠ 0, we apply division lemma to 438 and 1263, to get

1263 = 438 x 2 + 387

Step 3: We consider the new divisor 438 and the new remainder 387, and apply the division lemma to get

438 = 387 x 1 + 51

We consider the new divisor 387 and the new remainder 51,and apply the division lemma to get

387 = 51 x 7 + 30

We consider the new divisor 51 and the new remainder 30,and apply the division lemma to get

51 = 30 x 1 + 21

We consider the new divisor 30 and the new remainder 21,and apply the division lemma to get

30 = 21 x 1 + 9

We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get

21 = 9 x 2 + 3

We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get

9 = 3 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1263 and 6753 is 3

Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(30,21) = HCF(51,30) = HCF(387,51) = HCF(438,387) = HCF(1263,438) = HCF(6753,1263) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 43613 > 3, we apply the division lemma to 43613 and 3, to get

43613 = 3 x 14537 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 43613 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(43613,3) .

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Frequently Asked Questions on HCF of 1263, 6753, 43613 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 1263, 6753, 43613?

Answer: HCF of 1263, 6753, 43613 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1263, 6753, 43613 using Euclid's Algorithm?

Answer: For arbitrary numbers 1263, 6753, 43613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.