Highest Common Factor of 831, 67877 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, 67877 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 831, 67877 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, 67877 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, 67877 is 1.
HCF(831, 67877) = 1
HCF of 831, 67877 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, 67877 is 1.
Highest Common Factor of 831,67877 is 1
Step 1: Since 67877 > 831, we apply the division lemma to 67877 and 831, to get
67877 = 831 x 81 + 566
Step 2: Since the reminder 831 ≠ 0, we apply division lemma to 566 and 831, to get
831 = 566 x 1 + 265
Step 3: We consider the new divisor 566 and the new remainder 265, and apply the division lemma to get
566 = 265 x 2 + 36
We consider the new divisor 265 and the new remainder 36,and apply the division lemma to get
265 = 36 x 7 + 13
We consider the new divisor 36 and the new remainder 13,and apply the division lemma to get
36 = 13 x 2 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 831 and 67877 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(36,13) = HCF(265,36) = HCF(566,265) = HCF(831,566) = HCF(67877,831) .
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Frequently Asked Questions on HCF of 831, 67877 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, 67877?
Answer: HCF of 831, 67877 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 831, 67877 using Euclid's Algorithm?
Answer: For arbitrary numbers 831, 67877 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.