Highest Common Factor of 263, 6497, 4044 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 263, 6497, 4044 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 263, 6497, 4044 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 263, 6497, 4044 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 263, 6497, 4044 is 1.

HCF(263, 6497, 4044) = 1

HCF of 263, 6497, 4044 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 263, 6497, 4044 is 1.

Highest Common Factor of 263,6497,4044 using Euclid's algorithm

Highest Common Factor of 263,6497,4044 is 1

Step 1: Since 6497 > 263, we apply the division lemma to 6497 and 263, to get

6497 = 263 x 24 + 185

Step 2: Since the reminder 263 ≠ 0, we apply division lemma to 185 and 263, to get

263 = 185 x 1 + 78

Step 3: We consider the new divisor 185 and the new remainder 78, and apply the division lemma to get

185 = 78 x 2 + 29

We consider the new divisor 78 and the new remainder 29,and apply the division lemma to get

78 = 29 x 2 + 20

We consider the new divisor 29 and the new remainder 20,and apply the division lemma to get

29 = 20 x 1 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 263 and 6497 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(29,20) = HCF(78,29) = HCF(185,78) = HCF(263,185) = HCF(6497,263) .

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

Step 1: Since 4044 > 1, we apply the division lemma to 4044 and 1, to get

4044 = 1 x 4044 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4044 is 1

Notice that 1 = HCF(4044,1) .

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Frequently Asked Questions on HCF of 263, 6497, 4044 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 263, 6497, 4044?

Answer: HCF of 263, 6497, 4044 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 263, 6497, 4044 using Euclid's Algorithm?

Answer: For arbitrary numbers 263, 6497, 4044 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.