Highest Common Factor of 4563, 9368 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 4563, 9368 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4563, 9368 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 4563, 9368 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 4563, 9368 is 1.
HCF(4563, 9368) = 1
HCF of 4563, 9368 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4563, 9368 is 1.
Highest Common Factor of 4563,9368 is 1
Step 1: Since 9368 > 4563, we apply the division lemma to 9368 and 4563, to get
9368 = 4563 x 2 + 242
Step 2: Since the reminder 4563 ≠ 0, we apply division lemma to 242 and 4563, to get
4563 = 242 x 18 + 207
Step 3: We consider the new divisor 242 and the new remainder 207, and apply the division lemma to get
242 = 207 x 1 + 35
We consider the new divisor 207 and the new remainder 35,and apply the division lemma to get
207 = 35 x 5 + 32
We consider the new divisor 35 and the new remainder 32,and apply the division lemma to get
35 = 32 x 1 + 3
We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get
32 = 3 x 10 + 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 4563 and 9368 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(35,32) = HCF(207,35) = HCF(242,207) = HCF(4563,242) = HCF(9368,4563) .
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Frequently Asked Questions on HCF of 4563, 9368 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 4563, 9368?
Answer: HCF of 4563, 9368 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4563, 9368 using Euclid's Algorithm?
Answer: For arbitrary numbers 4563, 9368 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.