Highest Common Factor of 580, 6861 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, 6861 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 580, 6861 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, 6861 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, 6861 is 1.
HCF(580, 6861) = 1
HCF of 580, 6861 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, 6861 is 1.
Highest Common Factor of 580,6861 is 1
Step 1: Since 6861 > 580, we apply the division lemma to 6861 and 580, to get
6861 = 580 x 11 + 481
Step 2: Since the reminder 580 ≠ 0, we apply division lemma to 481 and 580, to get
580 = 481 x 1 + 99
Step 3: We consider the new divisor 481 and the new remainder 99, and apply the division lemma to get
481 = 99 x 4 + 85
We consider the new divisor 99 and the new remainder 85,and apply the division lemma to get
99 = 85 x 1 + 14
We consider the new divisor 85 and the new remainder 14,and apply the division lemma to get
85 = 14 x 6 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 580 and 6861 is 1
Notice that 1 = HCF(14,1) = HCF(85,14) = HCF(99,85) = HCF(481,99) = HCF(580,481) = HCF(6861,580) .
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Frequently Asked Questions on HCF of 580, 6861 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, 6861?
Answer: HCF of 580, 6861 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 580, 6861 using Euclid's Algorithm?
Answer: For arbitrary numbers 580, 6861 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.