Highest Common Factor of 9596, 3363, 71216 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 9596, 3363, 71216 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9596, 3363, 71216 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 9596, 3363, 71216 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 9596, 3363, 71216 is 1.
HCF(9596, 3363, 71216) = 1
HCF of 9596, 3363, 71216 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9596, 3363, 71216 is 1.
Highest Common Factor of 9596,3363,71216 is 1
Step 1: Since 9596 > 3363, we apply the division lemma to 9596 and 3363, to get
9596 = 3363 x 2 + 2870
Step 2: Since the reminder 3363 ≠ 0, we apply division lemma to 2870 and 3363, to get
3363 = 2870 x 1 + 493
Step 3: We consider the new divisor 2870 and the new remainder 493, and apply the division lemma to get
2870 = 493 x 5 + 405
We consider the new divisor 493 and the new remainder 405,and apply the division lemma to get
493 = 405 x 1 + 88
We consider the new divisor 405 and the new remainder 88,and apply the division lemma to get
405 = 88 x 4 + 53
We consider the new divisor 88 and the new remainder 53,and apply the division lemma to get
88 = 53 x 1 + 35
We consider the new divisor 53 and the new remainder 35,and apply the division lemma to get
53 = 35 x 1 + 18
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 9596 and 3363 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(35,18) = HCF(53,35) = HCF(88,53) = HCF(405,88) = HCF(493,405) = HCF(2870,493) = HCF(3363,2870) = HCF(9596,3363) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 71216 > 1, we apply the division lemma to 71216 and 1, to get
71216 = 1 x 71216 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 71216 is 1
Notice that 1 = HCF(71216,1) .
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Frequently Asked Questions on HCF of 9596, 3363, 71216 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 9596, 3363, 71216?
Answer: HCF of 9596, 3363, 71216 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9596, 3363, 71216 using Euclid's Algorithm?
Answer: For arbitrary numbers 9596, 3363, 71216 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.