Highest Common Factor of 5811, 4617 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 5811, 4617 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5811, 4617 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 5811, 4617 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 5811, 4617 is 3.
HCF(5811, 4617) = 3
HCF of 5811, 4617 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5811, 4617 is 3.
Highest Common Factor of 5811,4617 is 3
Step 1: Since 5811 > 4617, we apply the division lemma to 5811 and 4617, to get
5811 = 4617 x 1 + 1194
Step 2: Since the reminder 4617 ≠ 0, we apply division lemma to 1194 and 4617, to get
4617 = 1194 x 3 + 1035
Step 3: We consider the new divisor 1194 and the new remainder 1035, and apply the division lemma to get
1194 = 1035 x 1 + 159
We consider the new divisor 1035 and the new remainder 159,and apply the division lemma to get
1035 = 159 x 6 + 81
We consider the new divisor 159 and the new remainder 81,and apply the division lemma to get
159 = 81 x 1 + 78
We consider the new divisor 81 and the new remainder 78,and apply the division lemma to get
81 = 78 x 1 + 3
We consider the new divisor 78 and the new remainder 3,and apply the division lemma to get
78 = 3 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5811 and 4617 is 3
Notice that 3 = HCF(78,3) = HCF(81,78) = HCF(159,81) = HCF(1035,159) = HCF(1194,1035) = HCF(4617,1194) = HCF(5811,4617) .
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Frequently Asked Questions on HCF of 5811, 4617 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 5811, 4617?
Answer: HCF of 5811, 4617 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5811, 4617 using Euclid's Algorithm?
Answer: For arbitrary numbers 5811, 4617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
