Highest Common Factor of 465, 613 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 465, 613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 465, 613 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 465, 613 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 465, 613 is 1.
HCF(465, 613) = 1
HCF of 465, 613 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 465, 613 is 1.
Highest Common Factor of 465,613 is 1
Step 1: Since 613 > 465, we apply the division lemma to 613 and 465, to get
613 = 465 x 1 + 148
Step 2: Since the reminder 465 ≠ 0, we apply division lemma to 148 and 465, to get
465 = 148 x 3 + 21
Step 3: We consider the new divisor 148 and the new remainder 21, and apply the division lemma to get
148 = 21 x 7 + 1
We consider the new divisor 21 and the new remainder 1, and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 465 and 613 is 1
Notice that 1 = HCF(21,1) = HCF(148,21) = HCF(465,148) = HCF(613,465) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 465, 613 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 465, 613?
Answer: HCF of 465, 613 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 465, 613 using Euclid's Algorithm?
Answer: For arbitrary numbers 465, 613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
