Highest Common Factor of 7647, 5233 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 7647, 5233 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7647, 5233 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 7647, 5233 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 7647, 5233 is 1.
HCF(7647, 5233) = 1
HCF of 7647, 5233 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7647, 5233 is 1.
Highest Common Factor of 7647,5233 is 1
Step 1: Since 7647 > 5233, we apply the division lemma to 7647 and 5233, to get
7647 = 5233 x 1 + 2414
Step 2: Since the reminder 5233 ≠ 0, we apply division lemma to 2414 and 5233, to get
5233 = 2414 x 2 + 405
Step 3: We consider the new divisor 2414 and the new remainder 405, and apply the division lemma to get
2414 = 405 x 5 + 389
We consider the new divisor 405 and the new remainder 389,and apply the division lemma to get
405 = 389 x 1 + 16
We consider the new divisor 389 and the new remainder 16,and apply the division lemma to get
389 = 16 x 24 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7647 and 5233 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(389,16) = HCF(405,389) = HCF(2414,405) = HCF(5233,2414) = HCF(7647,5233) .
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Frequently Asked Questions on HCF of 7647, 5233 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 7647, 5233?
Answer: HCF of 7647, 5233 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7647, 5233 using Euclid's Algorithm?
Answer: For arbitrary numbers 7647, 5233 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
