Highest Common Factor of 2836, 8613 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 2836, 8613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2836, 8613 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 2836, 8613 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 2836, 8613 is 1.
HCF(2836, 8613) = 1
HCF of 2836, 8613 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2836, 8613 is 1.
Highest Common Factor of 2836,8613 is 1
Step 1: Since 8613 > 2836, we apply the division lemma to 8613 and 2836, to get
8613 = 2836 x 3 + 105
Step 2: Since the reminder 2836 ≠ 0, we apply division lemma to 105 and 2836, to get
2836 = 105 x 27 + 1
Step 3: We consider the new divisor 105 and the new remainder 1, and apply the division lemma to get
105 = 1 x 105 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2836 and 8613 is 1
Notice that 1 = HCF(105,1) = HCF(2836,105) = HCF(8613,2836) .
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Frequently Asked Questions on HCF of 2836, 8613 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 2836, 8613?
Answer: HCF of 2836, 8613 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2836, 8613 using Euclid's Algorithm?
Answer: For arbitrary numbers 2836, 8613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.