Highest Common Factor of 5563, 9645 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 5563, 9645 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5563, 9645 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 5563, 9645 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 5563, 9645 is 1.
HCF(5563, 9645) = 1
HCF of 5563, 9645 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5563, 9645 is 1.
Highest Common Factor of 5563,9645 is 1
Step 1: Since 9645 > 5563, we apply the division lemma to 9645 and 5563, to get
9645 = 5563 x 1 + 4082
Step 2: Since the reminder 5563 ≠ 0, we apply division lemma to 4082 and 5563, to get
5563 = 4082 x 1 + 1481
Step 3: We consider the new divisor 4082 and the new remainder 1481, and apply the division lemma to get
4082 = 1481 x 2 + 1120
We consider the new divisor 1481 and the new remainder 1120,and apply the division lemma to get
1481 = 1120 x 1 + 361
We consider the new divisor 1120 and the new remainder 361,and apply the division lemma to get
1120 = 361 x 3 + 37
We consider the new divisor 361 and the new remainder 37,and apply the division lemma to get
361 = 37 x 9 + 28
We consider the new divisor 37 and the new remainder 28,and apply the division lemma to get
37 = 28 x 1 + 9
We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get
28 = 9 x 3 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5563 and 9645 is 1
Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(37,28) = HCF(361,37) = HCF(1120,361) = HCF(1481,1120) = HCF(4082,1481) = HCF(5563,4082) = HCF(9645,5563) .
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Frequently Asked Questions on HCF of 5563, 9645 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 5563, 9645?
Answer: HCF of 5563, 9645 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5563, 9645 using Euclid's Algorithm?
Answer: For arbitrary numbers 5563, 9645 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
