Highest Common Factor of 5663, 3324 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 5663, 3324 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5663, 3324 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 5663, 3324 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 5663, 3324 is 1.
HCF(5663, 3324) = 1
HCF of 5663, 3324 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5663, 3324 is 1.
Highest Common Factor of 5663,3324 is 1
Step 1: Since 5663 > 3324, we apply the division lemma to 5663 and 3324, to get
5663 = 3324 x 1 + 2339
Step 2: Since the reminder 3324 ≠ 0, we apply division lemma to 2339 and 3324, to get
3324 = 2339 x 1 + 985
Step 3: We consider the new divisor 2339 and the new remainder 985, and apply the division lemma to get
2339 = 985 x 2 + 369
We consider the new divisor 985 and the new remainder 369,and apply the division lemma to get
985 = 369 x 2 + 247
We consider the new divisor 369 and the new remainder 247,and apply the division lemma to get
369 = 247 x 1 + 122
We consider the new divisor 247 and the new remainder 122,and apply the division lemma to get
247 = 122 x 2 + 3
We consider the new divisor 122 and the new remainder 3,and apply the division lemma to get
122 = 3 x 40 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5663 and 3324 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(122,3) = HCF(247,122) = HCF(369,247) = HCF(985,369) = HCF(2339,985) = HCF(3324,2339) = HCF(5663,3324) .
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Frequently Asked Questions on HCF of 5663, 3324 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 5663, 3324?
Answer: HCF of 5663, 3324 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5663, 3324 using Euclid's Algorithm?
Answer: For arbitrary numbers 5663, 3324 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.