Highest Common Factor of 581, 2002 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 581, 2002 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 581, 2002 is 7 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 581, 2002 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 581, 2002 is 7.
HCF(581, 2002) = 7
HCF of 581, 2002 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 581, 2002 is 7.
Highest Common Factor of 581,2002 is 7
Step 1: Since 2002 > 581, we apply the division lemma to 2002 and 581, to get
2002 = 581 x 3 + 259
Step 2: Since the reminder 581 ≠ 0, we apply division lemma to 259 and 581, to get
581 = 259 x 2 + 63
Step 3: We consider the new divisor 259 and the new remainder 63, and apply the division lemma to get
259 = 63 x 4 + 7
We consider the new divisor 63 and the new remainder 7, and apply the division lemma to get
63 = 7 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 581 and 2002 is 7
Notice that 7 = HCF(63,7) = HCF(259,63) = HCF(581,259) = HCF(2002,581) .
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Frequently Asked Questions on HCF of 581, 2002 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 581, 2002?
Answer: HCF of 581, 2002 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 581, 2002 using Euclid's Algorithm?
Answer: For arbitrary numbers 581, 2002 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.