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, 9525 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4563, 9525 is 3 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, 9525 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, 9525 is 3.
HCF(4563, 9525) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4563, 9525 is 3.
Step 1: Since 9525 > 4563, we apply the division lemma to 9525 and 4563, to get
9525 = 4563 x 2 + 399
Step 2: Since the reminder 4563 ≠ 0, we apply division lemma to 399 and 4563, to get
4563 = 399 x 11 + 174
Step 3: We consider the new divisor 399 and the new remainder 174, and apply the division lemma to get
399 = 174 x 2 + 51
We consider the new divisor 174 and the new remainder 51,and apply the division lemma to get
174 = 51 x 3 + 21
We consider the new divisor 51 and the new remainder 21,and apply the division lemma to get
51 = 21 x 2 + 9
We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get
21 = 9 x 2 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4563 and 9525 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(51,21) = HCF(174,51) = HCF(399,174) = HCF(4563,399) = HCF(9525,4563) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 9525?
Answer: HCF of 4563, 9525 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4563, 9525 using Euclid's Algorithm?
Answer: For arbitrary numbers 4563, 9525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.