Highest Common Factor of 4219, 5999 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 4219, 5999 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4219, 5999 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 4219, 5999 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 4219, 5999 is 1.

HCF(4219, 5999) = 1

HCF of 4219, 5999 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 4219, 5999 is 1.

Highest Common Factor of 4219,5999 using Euclid's algorithm

Highest Common Factor of 4219,5999 is 1

Step 1: Since 5999 > 4219, we apply the division lemma to 5999 and 4219, to get

5999 = 4219 x 1 + 1780

Step 2: Since the reminder 4219 ≠ 0, we apply division lemma to 1780 and 4219, to get

4219 = 1780 x 2 + 659

Step 3: We consider the new divisor 1780 and the new remainder 659, and apply the division lemma to get

1780 = 659 x 2 + 462

We consider the new divisor 659 and the new remainder 462,and apply the division lemma to get

659 = 462 x 1 + 197

We consider the new divisor 462 and the new remainder 197,and apply the division lemma to get

462 = 197 x 2 + 68

We consider the new divisor 197 and the new remainder 68,and apply the division lemma to get

197 = 68 x 2 + 61

We consider the new divisor 68 and the new remainder 61,and apply the division lemma to get

68 = 61 x 1 + 7

We consider the new divisor 61 and the new remainder 7,and apply the division lemma to get

61 = 7 x 8 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 4219 and 5999 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(61,7) = HCF(68,61) = HCF(197,68) = HCF(462,197) = HCF(659,462) = HCF(1780,659) = HCF(4219,1780) = HCF(5999,4219) .

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Frequently Asked Questions on HCF of 4219, 5999 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 4219, 5999?

Answer: HCF of 4219, 5999 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4219, 5999 using Euclid's Algorithm?

Answer: For arbitrary numbers 4219, 5999 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.