Highest Common Factor of 5105, 8126 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 5105, 8126 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5105, 8126 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 5105, 8126 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 5105, 8126 is 1.
HCF(5105, 8126) = 1
HCF of 5105, 8126 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5105, 8126 is 1.
Highest Common Factor of 5105,8126 is 1
Step 1: Since 8126 > 5105, we apply the division lemma to 8126 and 5105, to get
8126 = 5105 x 1 + 3021
Step 2: Since the reminder 5105 ≠ 0, we apply division lemma to 3021 and 5105, to get
5105 = 3021 x 1 + 2084
Step 3: We consider the new divisor 3021 and the new remainder 2084, and apply the division lemma to get
3021 = 2084 x 1 + 937
We consider the new divisor 2084 and the new remainder 937,and apply the division lemma to get
2084 = 937 x 2 + 210
We consider the new divisor 937 and the new remainder 210,and apply the division lemma to get
937 = 210 x 4 + 97
We consider the new divisor 210 and the new remainder 97,and apply the division lemma to get
210 = 97 x 2 + 16
We consider the new divisor 97 and the new remainder 16,and apply the division lemma to get
97 = 16 x 6 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5105 and 8126 is 1
Notice that 1 = HCF(16,1) = HCF(97,16) = HCF(210,97) = HCF(937,210) = HCF(2084,937) = HCF(3021,2084) = HCF(5105,3021) = HCF(8126,5105) .
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Frequently Asked Questions on HCF of 5105, 8126 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 5105, 8126?
Answer: HCF of 5105, 8126 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5105, 8126 using Euclid's Algorithm?
Answer: For arbitrary numbers 5105, 8126 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.