Highest Common Factor of 565, 317, 515 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 565, 317, 515 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 565, 317, 515 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 565, 317, 515 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 565, 317, 515 is 1.
HCF(565, 317, 515) = 1
HCF of 565, 317, 515 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 565, 317, 515 is 1.
Highest Common Factor of 565,317,515 is 1
Step 1: Since 565 > 317, we apply the division lemma to 565 and 317, to get
565 = 317 x 1 + 248
Step 2: Since the reminder 317 ≠ 0, we apply division lemma to 248 and 317, to get
317 = 248 x 1 + 69
Step 3: We consider the new divisor 248 and the new remainder 69, and apply the division lemma to get
248 = 69 x 3 + 41
We consider the new divisor 69 and the new remainder 41,and apply the division lemma to get
69 = 41 x 1 + 28
We consider the new divisor 41 and the new remainder 28,and apply the division lemma to get
41 = 28 x 1 + 13
We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get
28 = 13 x 2 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 565 and 317 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(41,28) = HCF(69,41) = HCF(248,69) = HCF(317,248) = HCF(565,317) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 515 > 1, we apply the division lemma to 515 and 1, to get
515 = 1 x 515 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 515 is 1
Notice that 1 = HCF(515,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 565, 317, 515 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 565, 317, 515?
Answer: HCF of 565, 317, 515 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 565, 317, 515 using Euclid's Algorithm?
Answer: For arbitrary numbers 565, 317, 515 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
