Highest Common Factor of 580, 6659 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 580, 6659 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 580, 6659 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 580, 6659 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 580, 6659 is 1.
HCF(580, 6659) = 1
HCF of 580, 6659 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 580, 6659 is 1.
Highest Common Factor of 580,6659 is 1
Step 1: Since 6659 > 580, we apply the division lemma to 6659 and 580, to get
6659 = 580 x 11 + 279
Step 2: Since the reminder 580 ≠ 0, we apply division lemma to 279 and 580, to get
580 = 279 x 2 + 22
Step 3: We consider the new divisor 279 and the new remainder 22, and apply the division lemma to get
279 = 22 x 12 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 580 and 6659 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(279,22) = HCF(580,279) = HCF(6659,580) .
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Frequently Asked Questions on HCF of 580, 6659 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 580, 6659?
Answer: HCF of 580, 6659 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 580, 6659 using Euclid's Algorithm?
Answer: For arbitrary numbers 580, 6659 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.