Highest Common Factor of 561, 495, 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 561, 495, 613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 561, 495, 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 561, 495, 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 561, 495, 613 is 1.
HCF(561, 495, 613) = 1
HCF of 561, 495, 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 561, 495, 613 is 1.
Highest Common Factor of 561,495,613 is 1
Step 1: Since 561 > 495, we apply the division lemma to 561 and 495, to get
561 = 495 x 1 + 66
Step 2: Since the reminder 495 ≠ 0, we apply division lemma to 66 and 495, to get
495 = 66 x 7 + 33
Step 3: We consider the new divisor 66 and the new remainder 33, and apply the division lemma to get
66 = 33 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 561 and 495 is 33
Notice that 33 = HCF(66,33) = HCF(495,66) = HCF(561,495) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 613 > 33, we apply the division lemma to 613 and 33, to get
613 = 33 x 18 + 19
Step 2: Since the reminder 33 ≠ 0, we apply division lemma to 19 and 33, to get
33 = 19 x 1 + 14
Step 3: We consider the new divisor 19 and the new remainder 14, and apply the division lemma to get
19 = 14 x 1 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 33 and 613 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(33,19) = HCF(613,33) .
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Frequently Asked Questions on HCF of 561, 495, 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 561, 495, 613?
Answer: HCF of 561, 495, 613 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 561, 495, 613 using Euclid's Algorithm?
Answer: For arbitrary numbers 561, 495, 613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.