Highest Common Factor of 8563, 8961 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 8563, 8961 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8563, 8961 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 8563, 8961 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 8563, 8961 is 1.
HCF(8563, 8961) = 1
HCF of 8563, 8961 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8563, 8961 is 1.
Highest Common Factor of 8563,8961 is 1
Step 1: Since 8961 > 8563, we apply the division lemma to 8961 and 8563, to get
8961 = 8563 x 1 + 398
Step 2: Since the reminder 8563 ≠ 0, we apply division lemma to 398 and 8563, to get
8563 = 398 x 21 + 205
Step 3: We consider the new divisor 398 and the new remainder 205, and apply the division lemma to get
398 = 205 x 1 + 193
We consider the new divisor 205 and the new remainder 193,and apply the division lemma to get
205 = 193 x 1 + 12
We consider the new divisor 193 and the new remainder 12,and apply the division lemma to get
193 = 12 x 16 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8563 and 8961 is 1
Notice that 1 = HCF(12,1) = HCF(193,12) = HCF(205,193) = HCF(398,205) = HCF(8563,398) = HCF(8961,8563) .
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Frequently Asked Questions on HCF of 8563, 8961 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 8563, 8961?
Answer: HCF of 8563, 8961 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8563, 8961 using Euclid's Algorithm?
Answer: For arbitrary numbers 8563, 8961 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.