Highest Common Factor of 1717, 2330 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 1717, 2330 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1717, 2330 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 1717, 2330 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 1717, 2330 is 1.
HCF(1717, 2330) = 1
HCF of 1717, 2330 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1717, 2330 is 1.
Highest Common Factor of 1717,2330 is 1
Step 1: Since 2330 > 1717, we apply the division lemma to 2330 and 1717, to get
2330 = 1717 x 1 + 613
Step 2: Since the reminder 1717 ≠ 0, we apply division lemma to 613 and 1717, to get
1717 = 613 x 2 + 491
Step 3: We consider the new divisor 613 and the new remainder 491, and apply the division lemma to get
613 = 491 x 1 + 122
We consider the new divisor 491 and the new remainder 122,and apply the division lemma to get
491 = 122 x 4 + 3
We consider the new divisor 122 and the new remainder 3,and apply the division lemma to get
122 = 3 x 40 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1717 and 2330 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(122,3) = HCF(491,122) = HCF(613,491) = HCF(1717,613) = HCF(2330,1717) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1717, 2330 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 1717, 2330?
Answer: HCF of 1717, 2330 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1717, 2330 using Euclid's Algorithm?
Answer: For arbitrary numbers 1717, 2330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.