Highest Common Factor of 2159, 3631 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 2159, 3631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2159, 3631 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 2159, 3631 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 2159, 3631 is 1.
HCF(2159, 3631) = 1
HCF of 2159, 3631 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2159, 3631 is 1.
Highest Common Factor of 2159,3631 is 1
Step 1: Since 3631 > 2159, we apply the division lemma to 3631 and 2159, to get
3631 = 2159 x 1 + 1472
Step 2: Since the reminder 2159 ≠ 0, we apply division lemma to 1472 and 2159, to get
2159 = 1472 x 1 + 687
Step 3: We consider the new divisor 1472 and the new remainder 687, and apply the division lemma to get
1472 = 687 x 2 + 98
We consider the new divisor 687 and the new remainder 98,and apply the division lemma to get
687 = 98 x 7 + 1
We consider the new divisor 98 and the new remainder 1,and apply the division lemma to get
98 = 1 x 98 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2159 and 3631 is 1
Notice that 1 = HCF(98,1) = HCF(687,98) = HCF(1472,687) = HCF(2159,1472) = HCF(3631,2159) .
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Frequently Asked Questions on HCF of 2159, 3631 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 2159, 3631?
Answer: HCF of 2159, 3631 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2159, 3631 using Euclid's Algorithm?
Answer: For arbitrary numbers 2159, 3631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.