Highest Common Factor of 810, 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 810, 963 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 810, 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 810, 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 810, 963 is 9.
HCF(810, 963) = 9
HCF of 810, 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 810, 963 is 9.
Highest Common Factor of 810,963 is 9
Step 1: Since 963 > 810, we apply the division lemma to 963 and 810, to get
963 = 810 x 1 + 153
Step 2: Since the reminder 810 ≠ 0, we apply division lemma to 153 and 810, to get
810 = 153 x 5 + 45
Step 3: We consider the new divisor 153 and the new remainder 45, and apply the division lemma to get
153 = 45 x 3 + 18
We consider the new divisor 45 and the new remainder 18,and apply the division lemma to get
45 = 18 x 2 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 810 and 963 is 9
Notice that 9 = HCF(18,9) = HCF(45,18) = HCF(153,45) = HCF(810,153) = HCF(963,810) .
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Frequently Asked Questions on HCF of 810, 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 810, 963?
Answer: HCF of 810, 963 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 810, 963 using Euclid's Algorithm?
Answer: For arbitrary numbers 810, 963 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.