Highest Common Factor of 613, 40822 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, 40822 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 613, 40822 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, 40822 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, 40822 is 1.
HCF(613, 40822) = 1
HCF of 613, 40822 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, 40822 is 1.
Highest Common Factor of 613,40822 is 1
Step 1: Since 40822 > 613, we apply the division lemma to 40822 and 613, to get
40822 = 613 x 66 + 364
Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 364 and 613, to get
613 = 364 x 1 + 249
Step 3: We consider the new divisor 364 and the new remainder 249, and apply the division lemma to get
364 = 249 x 1 + 115
We consider the new divisor 249 and the new remainder 115,and apply the division lemma to get
249 = 115 x 2 + 19
We consider the new divisor 115 and the new remainder 19,and apply the division lemma to get
115 = 19 x 6 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 613 and 40822 is 1
Notice that 1 = HCF(19,1) = HCF(115,19) = HCF(249,115) = HCF(364,249) = HCF(613,364) = HCF(40822,613) .
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Frequently Asked Questions on HCF of 613, 40822 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, 40822?
Answer: HCF of 613, 40822 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 613, 40822 using Euclid's Algorithm?
Answer: For arbitrary numbers 613, 40822 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.