Highest Common Factor of 963, 511 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 963, 511 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 963, 511 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 963, 511 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 963, 511 is 1.
HCF(963, 511) = 1
HCF of 963, 511 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 963, 511 is 1.
Highest Common Factor of 963,511 is 1
Step 1: Since 963 > 511, we apply the division lemma to 963 and 511, to get
963 = 511 x 1 + 452
Step 2: Since the reminder 511 ≠ 0, we apply division lemma to 452 and 511, to get
511 = 452 x 1 + 59
Step 3: We consider the new divisor 452 and the new remainder 59, and apply the division lemma to get
452 = 59 x 7 + 39
We consider the new divisor 59 and the new remainder 39,and apply the division lemma to get
59 = 39 x 1 + 20
We consider the new divisor 39 and the new remainder 20,and apply the division lemma to get
39 = 20 x 1 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 963 and 511 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(39,20) = HCF(59,39) = HCF(452,59) = HCF(511,452) = HCF(963,511) .
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Frequently Asked Questions on HCF of 963, 511 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 963, 511?
Answer: HCF of 963, 511 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 963, 511 using Euclid's Algorithm?
Answer: For arbitrary numbers 963, 511 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.