Highest Common Factor of 3568, 9863 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 3568, 9863 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3568, 9863 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 3568, 9863 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 3568, 9863 is 1.
HCF(3568, 9863) = 1
HCF of 3568, 9863 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3568, 9863 is 1.
Highest Common Factor of 3568,9863 is 1
Step 1: Since 9863 > 3568, we apply the division lemma to 9863 and 3568, to get
9863 = 3568 x 2 + 2727
Step 2: Since the reminder 3568 ≠ 0, we apply division lemma to 2727 and 3568, to get
3568 = 2727 x 1 + 841
Step 3: We consider the new divisor 2727 and the new remainder 841, and apply the division lemma to get
2727 = 841 x 3 + 204
We consider the new divisor 841 and the new remainder 204,and apply the division lemma to get
841 = 204 x 4 + 25
We consider the new divisor 204 and the new remainder 25,and apply the division lemma to get
204 = 25 x 8 + 4
We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get
25 = 4 x 6 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3568 and 9863 is 1
Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(204,25) = HCF(841,204) = HCF(2727,841) = HCF(3568,2727) = HCF(9863,3568) .
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Frequently Asked Questions on HCF of 3568, 9863 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 3568, 9863?
Answer: HCF of 3568, 9863 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3568, 9863 using Euclid's Algorithm?
Answer: For arbitrary numbers 3568, 9863 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.