Highest Common Factor of 5844, 9063 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 5844, 9063 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5844, 9063 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 5844, 9063 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 5844, 9063 is 3.
HCF(5844, 9063) = 3
HCF of 5844, 9063 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5844, 9063 is 3.
Highest Common Factor of 5844,9063 is 3
Step 1: Since 9063 > 5844, we apply the division lemma to 9063 and 5844, to get
9063 = 5844 x 1 + 3219
Step 2: Since the reminder 5844 ≠ 0, we apply division lemma to 3219 and 5844, to get
5844 = 3219 x 1 + 2625
Step 3: We consider the new divisor 3219 and the new remainder 2625, and apply the division lemma to get
3219 = 2625 x 1 + 594
We consider the new divisor 2625 and the new remainder 594,and apply the division lemma to get
2625 = 594 x 4 + 249
We consider the new divisor 594 and the new remainder 249,and apply the division lemma to get
594 = 249 x 2 + 96
We consider the new divisor 249 and the new remainder 96,and apply the division lemma to get
249 = 96 x 2 + 57
We consider the new divisor 96 and the new remainder 57,and apply the division lemma to get
96 = 57 x 1 + 39
We consider the new divisor 57 and the new remainder 39,and apply the division lemma to get
57 = 39 x 1 + 18
We consider the new divisor 39 and the new remainder 18,and apply the division lemma to get
39 = 18 x 2 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5844 and 9063 is 3
Notice that 3 = HCF(18,3) = HCF(39,18) = HCF(57,39) = HCF(96,57) = HCF(249,96) = HCF(594,249) = HCF(2625,594) = HCF(3219,2625) = HCF(5844,3219) = HCF(9063,5844) .
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Frequently Asked Questions on HCF of 5844, 9063 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 5844, 9063?
Answer: HCF of 5844, 9063 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5844, 9063 using Euclid's Algorithm?
Answer: For arbitrary numbers 5844, 9063 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.