Highest Common Factor of 4581, 8668 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 4581, 8668 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4581, 8668 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 4581, 8668 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 4581, 8668 is 1.
HCF(4581, 8668) = 1
HCF of 4581, 8668 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4581, 8668 is 1.
Highest Common Factor of 4581,8668 is 1
Step 1: Since 8668 > 4581, we apply the division lemma to 8668 and 4581, to get
8668 = 4581 x 1 + 4087
Step 2: Since the reminder 4581 ≠ 0, we apply division lemma to 4087 and 4581, to get
4581 = 4087 x 1 + 494
Step 3: We consider the new divisor 4087 and the new remainder 494, and apply the division lemma to get
4087 = 494 x 8 + 135
We consider the new divisor 494 and the new remainder 135,and apply the division lemma to get
494 = 135 x 3 + 89
We consider the new divisor 135 and the new remainder 89,and apply the division lemma to get
135 = 89 x 1 + 46
We consider the new divisor 89 and the new remainder 46,and apply the division lemma to get
89 = 46 x 1 + 43
We consider the new divisor 46 and the new remainder 43,and apply the division lemma to get
46 = 43 x 1 + 3
We consider the new divisor 43 and the new remainder 3,and apply the division lemma to get
43 = 3 x 14 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4581 and 8668 is 1
Notice that 1 = HCF(3,1) = HCF(43,3) = HCF(46,43) = HCF(89,46) = HCF(135,89) = HCF(494,135) = HCF(4087,494) = HCF(4581,4087) = HCF(8668,4581) .
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Frequently Asked Questions on HCF of 4581, 8668 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 4581, 8668?
Answer: HCF of 4581, 8668 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4581, 8668 using Euclid's Algorithm?
Answer: For arbitrary numbers 4581, 8668 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
