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
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) 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) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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.