Highest Common Factor of 515, 831 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 515, 831 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 515, 831 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 515, 831 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 515, 831 is 1.
HCF(515, 831) = 1
HCF of 515, 831 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 515, 831 is 1.
Highest Common Factor of 515,831 is 1
Step 1: Since 831 > 515, we apply the division lemma to 831 and 515, to get
831 = 515 x 1 + 316
Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 316 and 515, to get
515 = 316 x 1 + 199
Step 3: We consider the new divisor 316 and the new remainder 199, and apply the division lemma to get
316 = 199 x 1 + 117
We consider the new divisor 199 and the new remainder 117,and apply the division lemma to get
199 = 117 x 1 + 82
We consider the new divisor 117 and the new remainder 82,and apply the division lemma to get
117 = 82 x 1 + 35
We consider the new divisor 82 and the new remainder 35,and apply the division lemma to get
82 = 35 x 2 + 12
We consider the new divisor 35 and the new remainder 12,and apply the division lemma to get
35 = 12 x 2 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 515 and 831 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(35,12) = HCF(82,35) = HCF(117,82) = HCF(199,117) = HCF(316,199) = HCF(515,316) = HCF(831,515) .
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Frequently Asked Questions on HCF of 515, 831 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 515, 831?
Answer: HCF of 515, 831 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 515, 831 using Euclid's Algorithm?
Answer: For arbitrary numbers 515, 831 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.