Highest Common Factor of 6563, 4444 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 6563, 4444 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6563, 4444 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 6563, 4444 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 6563, 4444 is 1.

HCF(6563, 4444) = 1

HCF of 6563, 4444 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 6563, 4444 is 1.

Highest Common Factor of 6563,4444 using Euclid's algorithm

Highest Common Factor of 6563,4444 is 1

Step 1: Since 6563 > 4444, we apply the division lemma to 6563 and 4444, to get

6563 = 4444 x 1 + 2119

Step 2: Since the reminder 4444 ≠ 0, we apply division lemma to 2119 and 4444, to get

4444 = 2119 x 2 + 206

Step 3: We consider the new divisor 2119 and the new remainder 206, and apply the division lemma to get

2119 = 206 x 10 + 59

We consider the new divisor 206 and the new remainder 59,and apply the division lemma to get

206 = 59 x 3 + 29

We consider the new divisor 59 and the new remainder 29,and apply the division lemma to get

59 = 29 x 2 + 1

We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get

29 = 1 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6563 and 4444 is 1

Notice that 1 = HCF(29,1) = HCF(59,29) = HCF(206,59) = HCF(2119,206) = HCF(4444,2119) = HCF(6563,4444) .

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Frequently Asked Questions on HCF of 6563, 4444 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 6563, 4444?

Answer: HCF of 6563, 4444 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6563, 4444 using Euclid's Algorithm?

Answer: For arbitrary numbers 6563, 4444 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.