Highest Common Factor of 5162, 2177 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 5162, 2177 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5162, 2177 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 5162, 2177 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 5162, 2177 is 1.
HCF(5162, 2177) = 1
HCF of 5162, 2177 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5162, 2177 is 1.
Highest Common Factor of 5162,2177 is 1
Step 1: Since 5162 > 2177, we apply the division lemma to 5162 and 2177, to get
5162 = 2177 x 2 + 808
Step 2: Since the reminder 2177 ≠ 0, we apply division lemma to 808 and 2177, to get
2177 = 808 x 2 + 561
Step 3: We consider the new divisor 808 and the new remainder 561, and apply the division lemma to get
808 = 561 x 1 + 247
We consider the new divisor 561 and the new remainder 247,and apply the division lemma to get
561 = 247 x 2 + 67
We consider the new divisor 247 and the new remainder 67,and apply the division lemma to get
247 = 67 x 3 + 46
We consider the new divisor 67 and the new remainder 46,and apply the division lemma to get
67 = 46 x 1 + 21
We consider the new divisor 46 and the new remainder 21,and apply the division lemma to get
46 = 21 x 2 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 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 5162 and 2177 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(46,21) = HCF(67,46) = HCF(247,67) = HCF(561,247) = HCF(808,561) = HCF(2177,808) = HCF(5162,2177) .
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Frequently Asked Questions on HCF of 5162, 2177 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 5162, 2177?
Answer: HCF of 5162, 2177 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5162, 2177 using Euclid's Algorithm?
Answer: For arbitrary numbers 5162, 2177 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
