Highest Common Factor of 1959, 2689 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 1959, 2689 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1959, 2689 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 1959, 2689 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 1959, 2689 is 1.
HCF(1959, 2689) = 1
HCF of 1959, 2689 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1959, 2689 is 1.
Highest Common Factor of 1959,2689 is 1
Step 1: Since 2689 > 1959, we apply the division lemma to 2689 and 1959, to get
2689 = 1959 x 1 + 730
Step 2: Since the reminder 1959 ≠ 0, we apply division lemma to 730 and 1959, to get
1959 = 730 x 2 + 499
Step 3: We consider the new divisor 730 and the new remainder 499, and apply the division lemma to get
730 = 499 x 1 + 231
We consider the new divisor 499 and the new remainder 231,and apply the division lemma to get
499 = 231 x 2 + 37
We consider the new divisor 231 and the new remainder 37,and apply the division lemma to get
231 = 37 x 6 + 9
We consider the new divisor 37 and the new remainder 9,and apply the division lemma to get
37 = 9 x 4 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1959 and 2689 is 1
Notice that 1 = HCF(9,1) = HCF(37,9) = HCF(231,37) = HCF(499,231) = HCF(730,499) = HCF(1959,730) = HCF(2689,1959) .
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Frequently Asked Questions on HCF of 1959, 2689 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 1959, 2689?
Answer: HCF of 1959, 2689 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1959, 2689 using Euclid's Algorithm?
Answer: For arbitrary numbers 1959, 2689 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.