Highest Common Factor of 831, 539, 115 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 831, 539, 115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 831, 539, 115 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 831, 539, 115 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 831, 539, 115 is 1.
HCF(831, 539, 115) = 1
HCF of 831, 539, 115 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 831, 539, 115 is 1.
Highest Common Factor of 831,539,115 is 1
Step 1: Since 831 > 539, we apply the division lemma to 831 and 539, to get
831 = 539 x 1 + 292
Step 2: Since the reminder 539 ≠ 0, we apply division lemma to 292 and 539, to get
539 = 292 x 1 + 247
Step 3: We consider the new divisor 292 and the new remainder 247, and apply the division lemma to get
292 = 247 x 1 + 45
We consider the new divisor 247 and the new remainder 45,and apply the division lemma to get
247 = 45 x 5 + 22
We consider the new divisor 45 and the new remainder 22,and apply the division lemma to get
45 = 22 x 2 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 831 and 539 is 1
Notice that 1 = HCF(22,1) = HCF(45,22) = HCF(247,45) = HCF(292,247) = HCF(539,292) = HCF(831,539) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 115 > 1, we apply the division lemma to 115 and 1, to get
115 = 1 x 115 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 115 is 1
Notice that 1 = HCF(115,1) .
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Frequently Asked Questions on HCF of 831, 539, 115 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 831, 539, 115?
Answer: HCF of 831, 539, 115 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 831, 539, 115 using Euclid's Algorithm?
Answer: For arbitrary numbers 831, 539, 115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
