Highest Common Factor of 5963, 5400, 11366 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 5963, 5400, 11366 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5963, 5400, 11366 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 5963, 5400, 11366 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 5963, 5400, 11366 is 1.
HCF(5963, 5400, 11366) = 1
HCF of 5963, 5400, 11366 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5963, 5400, 11366 is 1.
Highest Common Factor of 5963,5400,11366 is 1
Step 1: Since 5963 > 5400, we apply the division lemma to 5963 and 5400, to get
5963 = 5400 x 1 + 563
Step 2: Since the reminder 5400 ≠ 0, we apply division lemma to 563 and 5400, to get
5400 = 563 x 9 + 333
Step 3: We consider the new divisor 563 and the new remainder 333, and apply the division lemma to get
563 = 333 x 1 + 230
We consider the new divisor 333 and the new remainder 230,and apply the division lemma to get
333 = 230 x 1 + 103
We consider the new divisor 230 and the new remainder 103,and apply the division lemma to get
230 = 103 x 2 + 24
We consider the new divisor 103 and the new remainder 24,and apply the division lemma to get
103 = 24 x 4 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5963 and 5400 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(103,24) = HCF(230,103) = HCF(333,230) = HCF(563,333) = HCF(5400,563) = HCF(5963,5400) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 11366 > 1, we apply the division lemma to 11366 and 1, to get
11366 = 1 x 11366 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11366 is 1
Notice that 1 = HCF(11366,1) .
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Frequently Asked Questions on HCF of 5963, 5400, 11366 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 5963, 5400, 11366?
Answer: HCF of 5963, 5400, 11366 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5963, 5400, 11366 using Euclid's Algorithm?
Answer: For arbitrary numbers 5963, 5400, 11366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.