Highest Common Factor of 587, 8060 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 587, 8060 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 587, 8060 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 587, 8060 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 587, 8060 is 1.
HCF(587, 8060) = 1
HCF of 587, 8060 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 587, 8060 is 1.
Highest Common Factor of 587,8060 is 1
Step 1: Since 8060 > 587, we apply the division lemma to 8060 and 587, to get
8060 = 587 x 13 + 429
Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 429 and 587, to get
587 = 429 x 1 + 158
Step 3: We consider the new divisor 429 and the new remainder 158, and apply the division lemma to get
429 = 158 x 2 + 113
We consider the new divisor 158 and the new remainder 113,and apply the division lemma to get
158 = 113 x 1 + 45
We consider the new divisor 113 and the new remainder 45,and apply the division lemma to get
113 = 45 x 2 + 23
We consider the new divisor 45 and the new remainder 23,and apply the division lemma to get
45 = 23 x 1 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 587 and 8060 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(45,23) = HCF(113,45) = HCF(158,113) = HCF(429,158) = HCF(587,429) = HCF(8060,587) .
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Frequently Asked Questions on HCF of 587, 8060 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 587, 8060?
Answer: HCF of 587, 8060 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 587, 8060 using Euclid's Algorithm?
Answer: For arbitrary numbers 587, 8060 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.