Highest Common Factor of 5889, 6192 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 5889, 6192 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5889, 6192 is 3 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 5889, 6192 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 5889, 6192 is 3.
HCF(5889, 6192) = 3
HCF of 5889, 6192 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5889, 6192 is 3.
Highest Common Factor of 5889,6192 is 3
Step 1: Since 6192 > 5889, we apply the division lemma to 6192 and 5889, to get
6192 = 5889 x 1 + 303
Step 2: Since the reminder 5889 ≠ 0, we apply division lemma to 303 and 5889, to get
5889 = 303 x 19 + 132
Step 3: We consider the new divisor 303 and the new remainder 132, and apply the division lemma to get
303 = 132 x 2 + 39
We consider the new divisor 132 and the new remainder 39,and apply the division lemma to get
132 = 39 x 3 + 15
We consider the new divisor 39 and the new remainder 15,and apply the division lemma to get
39 = 15 x 2 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5889 and 6192 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(39,15) = HCF(132,39) = HCF(303,132) = HCF(5889,303) = HCF(6192,5889) .
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Frequently Asked Questions on HCF of 5889, 6192 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 5889, 6192?
Answer: HCF of 5889, 6192 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5889, 6192 using Euclid's Algorithm?
Answer: For arbitrary numbers 5889, 6192 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.