Highest Common Factor of 9045, 963 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 9045, 963 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 9045, 963 is 9 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 9045, 963 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 9045, 963 is 9.
HCF(9045, 963) = 9
HCF of 9045, 963 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9045, 963 is 9.
Highest Common Factor of 9045,963 is 9
Step 1: Since 9045 > 963, we apply the division lemma to 9045 and 963, to get
9045 = 963 x 9 + 378
Step 2: Since the reminder 963 ≠ 0, we apply division lemma to 378 and 963, to get
963 = 378 x 2 + 207
Step 3: We consider the new divisor 378 and the new remainder 207, and apply the division lemma to get
378 = 207 x 1 + 171
We consider the new divisor 207 and the new remainder 171,and apply the division lemma to get
207 = 171 x 1 + 36
We consider the new divisor 171 and the new remainder 36,and apply the division lemma to get
171 = 36 x 4 + 27
We consider the new divisor 36 and the new remainder 27,and apply the division lemma to get
36 = 27 x 1 + 9
We consider the new divisor 27 and the new remainder 9,and apply the division lemma to get
27 = 9 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 9045 and 963 is 9
Notice that 9 = HCF(27,9) = HCF(36,27) = HCF(171,36) = HCF(207,171) = HCF(378,207) = HCF(963,378) = HCF(9045,963) .
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Frequently Asked Questions on HCF of 9045, 963 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 9045, 963?
Answer: HCF of 9045, 963 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9045, 963 using Euclid's Algorithm?
Answer: For arbitrary numbers 9045, 963 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.