Highest Common Factor of 8113, 5365 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 8113, 5365 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8113, 5365 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 8113, 5365 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 8113, 5365 is 1.
HCF(8113, 5365) = 1
HCF of 8113, 5365 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8113, 5365 is 1.
Highest Common Factor of 8113,5365 is 1
Step 1: Since 8113 > 5365, we apply the division lemma to 8113 and 5365, to get
8113 = 5365 x 1 + 2748
Step 2: Since the reminder 5365 ≠ 0, we apply division lemma to 2748 and 5365, to get
5365 = 2748 x 1 + 2617
Step 3: We consider the new divisor 2748 and the new remainder 2617, and apply the division lemma to get
2748 = 2617 x 1 + 131
We consider the new divisor 2617 and the new remainder 131,and apply the division lemma to get
2617 = 131 x 19 + 128
We consider the new divisor 131 and the new remainder 128,and apply the division lemma to get
131 = 128 x 1 + 3
We consider the new divisor 128 and the new remainder 3,and apply the division lemma to get
128 = 3 x 42 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8113 and 5365 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(128,3) = HCF(131,128) = HCF(2617,131) = HCF(2748,2617) = HCF(5365,2748) = HCF(8113,5365) .
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Frequently Asked Questions on HCF of 8113, 5365 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 8113, 5365?
Answer: HCF of 8113, 5365 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8113, 5365 using Euclid's Algorithm?
Answer: For arbitrary numbers 8113, 5365 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.