Highest Common Factor of 613, 397 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 613, 397 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 613, 397 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 613, 397 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 613, 397 is 1.
HCF(613, 397) = 1
HCF of 613, 397 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 613, 397 is 1.
Highest Common Factor of 613,397 is 1
Step 1: Since 613 > 397, we apply the division lemma to 613 and 397, to get
613 = 397 x 1 + 216
Step 2: Since the reminder 397 ≠ 0, we apply division lemma to 216 and 397, to get
397 = 216 x 1 + 181
Step 3: We consider the new divisor 216 and the new remainder 181, and apply the division lemma to get
216 = 181 x 1 + 35
We consider the new divisor 181 and the new remainder 35,and apply the division lemma to get
181 = 35 x 5 + 6
We consider the new divisor 35 and the new remainder 6,and apply the division lemma to get
35 = 6 x 5 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 613 and 397 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(35,6) = HCF(181,35) = HCF(216,181) = HCF(397,216) = HCF(613,397) .
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Frequently Asked Questions on HCF of 613, 397 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 613, 397?
Answer: HCF of 613, 397 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 613, 397 using Euclid's Algorithm?
Answer: For arbitrary numbers 613, 397 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.