Highest Common Factor of 5631, 1581 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 5631, 1581 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5631, 1581 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 5631, 1581 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 5631, 1581 is 3.
HCF(5631, 1581) = 3
HCF of 5631, 1581 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5631, 1581 is 3.
Highest Common Factor of 5631,1581 is 3
Step 1: Since 5631 > 1581, we apply the division lemma to 5631 and 1581, to get
5631 = 1581 x 3 + 888
Step 2: Since the reminder 1581 ≠ 0, we apply division lemma to 888 and 1581, to get
1581 = 888 x 1 + 693
Step 3: We consider the new divisor 888 and the new remainder 693, and apply the division lemma to get
888 = 693 x 1 + 195
We consider the new divisor 693 and the new remainder 195,and apply the division lemma to get
693 = 195 x 3 + 108
We consider the new divisor 195 and the new remainder 108,and apply the division lemma to get
195 = 108 x 1 + 87
We consider the new divisor 108 and the new remainder 87,and apply the division lemma to get
108 = 87 x 1 + 21
We consider the new divisor 87 and the new remainder 21,and apply the division lemma to get
87 = 21 x 4 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5631 and 1581 is 3
Notice that 3 = HCF(21,3) = HCF(87,21) = HCF(108,87) = HCF(195,108) = HCF(693,195) = HCF(888,693) = HCF(1581,888) = HCF(5631,1581) .
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Frequently Asked Questions on HCF of 5631, 1581 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 5631, 1581?
Answer: HCF of 5631, 1581 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5631, 1581 using Euclid's Algorithm?
Answer: For arbitrary numbers 5631, 1581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.