Highest Common Factor of 591, 8582, 6845 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 591, 8582, 6845 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 591, 8582, 6845 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 591, 8582, 6845 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 591, 8582, 6845 is 1.
HCF(591, 8582, 6845) = 1
HCF of 591, 8582, 6845 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 591, 8582, 6845 is 1.
Highest Common Factor of 591,8582,6845 is 1
Step 1: Since 8582 > 591, we apply the division lemma to 8582 and 591, to get
8582 = 591 x 14 + 308
Step 2: Since the reminder 591 ≠ 0, we apply division lemma to 308 and 591, to get
591 = 308 x 1 + 283
Step 3: We consider the new divisor 308 and the new remainder 283, and apply the division lemma to get
308 = 283 x 1 + 25
We consider the new divisor 283 and the new remainder 25,and apply the division lemma to get
283 = 25 x 11 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 591 and 8582 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(283,25) = HCF(308,283) = HCF(591,308) = HCF(8582,591) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6845 > 1, we apply the division lemma to 6845 and 1, to get
6845 = 1 x 6845 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6845 is 1
Notice that 1 = HCF(6845,1) .
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Frequently Asked Questions on HCF of 591, 8582, 6845 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 591, 8582, 6845?
Answer: HCF of 591, 8582, 6845 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 591, 8582, 6845 using Euclid's Algorithm?
Answer: For arbitrary numbers 591, 8582, 6845 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.