Highest Common Factor of 1005, 6588 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 1005, 6588 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1005, 6588 is 3 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 1005, 6588 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 1005, 6588 is 3.
HCF(1005, 6588) = 3
HCF of 1005, 6588 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1005, 6588 is 3.
Highest Common Factor of 1005,6588 is 3
Step 1: Since 6588 > 1005, we apply the division lemma to 6588 and 1005, to get
6588 = 1005 x 6 + 558
Step 2: Since the reminder 1005 ≠ 0, we apply division lemma to 558 and 1005, to get
1005 = 558 x 1 + 447
Step 3: We consider the new divisor 558 and the new remainder 447, and apply the division lemma to get
558 = 447 x 1 + 111
We consider the new divisor 447 and the new remainder 111,and apply the division lemma to get
447 = 111 x 4 + 3
We consider the new divisor 111 and the new remainder 3,and apply the division lemma to get
111 = 3 x 37 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1005 and 6588 is 3
Notice that 3 = HCF(111,3) = HCF(447,111) = HCF(558,447) = HCF(1005,558) = HCF(6588,1005) .
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Frequently Asked Questions on HCF of 1005, 6588 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 1005, 6588?
Answer: HCF of 1005, 6588 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1005, 6588 using Euclid's Algorithm?
Answer: For arbitrary numbers 1005, 6588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.