Highest Common Factor of 1581, 2531 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 1581, 2531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1581, 2531 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 1581, 2531 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 1581, 2531 is 1.
HCF(1581, 2531) = 1
HCF of 1581, 2531 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1581, 2531 is 1.
Highest Common Factor of 1581,2531 is 1
Step 1: Since 2531 > 1581, we apply the division lemma to 2531 and 1581, to get
2531 = 1581 x 1 + 950
Step 2: Since the reminder 1581 ≠ 0, we apply division lemma to 950 and 1581, to get
1581 = 950 x 1 + 631
Step 3: We consider the new divisor 950 and the new remainder 631, and apply the division lemma to get
950 = 631 x 1 + 319
We consider the new divisor 631 and the new remainder 319,and apply the division lemma to get
631 = 319 x 1 + 312
We consider the new divisor 319 and the new remainder 312,and apply the division lemma to get
319 = 312 x 1 + 7
We consider the new divisor 312 and the new remainder 7,and apply the division lemma to get
312 = 7 x 44 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1581 and 2531 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(312,7) = HCF(319,312) = HCF(631,319) = HCF(950,631) = HCF(1581,950) = HCF(2531,1581) .
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Frequently Asked Questions on HCF of 1581, 2531 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 1581, 2531?
Answer: HCF of 1581, 2531 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1581, 2531 using Euclid's Algorithm?
Answer: For arbitrary numbers 1581, 2531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.