Highest Common Factor of 8363, 2461 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 8363, 2461 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8363, 2461 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 8363, 2461 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 8363, 2461 is 1.
HCF(8363, 2461) = 1
HCF of 8363, 2461 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8363, 2461 is 1.
Highest Common Factor of 8363,2461 is 1
Step 1: Since 8363 > 2461, we apply the division lemma to 8363 and 2461, to get
8363 = 2461 x 3 + 980
Step 2: Since the reminder 2461 ≠ 0, we apply division lemma to 980 and 2461, to get
2461 = 980 x 2 + 501
Step 3: We consider the new divisor 980 and the new remainder 501, and apply the division lemma to get
980 = 501 x 1 + 479
We consider the new divisor 501 and the new remainder 479,and apply the division lemma to get
501 = 479 x 1 + 22
We consider the new divisor 479 and the new remainder 22,and apply the division lemma to get
479 = 22 x 21 + 17
We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get
22 = 17 x 1 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8363 and 2461 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(479,22) = HCF(501,479) = HCF(980,501) = HCF(2461,980) = HCF(8363,2461) .
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Frequently Asked Questions on HCF of 8363, 2461 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 8363, 2461?
Answer: HCF of 8363, 2461 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8363, 2461 using Euclid's Algorithm?
Answer: For arbitrary numbers 8363, 2461 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.