Highest Common Factor of 636, 583, 353 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 636, 583, 353 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 636, 583, 353 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 636, 583, 353 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 636, 583, 353 is 1.
HCF(636, 583, 353) = 1
HCF of 636, 583, 353 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 636, 583, 353 is 1.
Highest Common Factor of 636,583,353 is 1
Step 1: Since 636 > 583, we apply the division lemma to 636 and 583, to get
636 = 583 x 1 + 53
Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 53 and 583, to get
583 = 53 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 53, the HCF of 636 and 583 is 53
Notice that 53 = HCF(583,53) = HCF(636,583) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 353 > 53, we apply the division lemma to 353 and 53, to get
353 = 53 x 6 + 35
Step 2: Since the reminder 53 ≠ 0, we apply division lemma to 35 and 53, to get
53 = 35 x 1 + 18
Step 3: We consider the new divisor 35 and the new remainder 18, and apply the division lemma to get
35 = 18 x 1 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 53 and 353 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(35,18) = HCF(53,35) = HCF(353,53) .
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Frequently Asked Questions on HCF of 636, 583, 353 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 636, 583, 353?
Answer: HCF of 636, 583, 353 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 636, 583, 353 using Euclid's Algorithm?
Answer: For arbitrary numbers 636, 583, 353 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.