Highest Common Factor of 2831, 8391 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 2831, 8391 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2831, 8391 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 2831, 8391 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 2831, 8391 is 1.
HCF(2831, 8391) = 1
HCF of 2831, 8391 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2831, 8391 is 1.
Highest Common Factor of 2831,8391 is 1
Step 1: Since 8391 > 2831, we apply the division lemma to 8391 and 2831, to get
8391 = 2831 x 2 + 2729
Step 2: Since the reminder 2831 ≠ 0, we apply division lemma to 2729 and 2831, to get
2831 = 2729 x 1 + 102
Step 3: We consider the new divisor 2729 and the new remainder 102, and apply the division lemma to get
2729 = 102 x 26 + 77
We consider the new divisor 102 and the new remainder 77,and apply the division lemma to get
102 = 77 x 1 + 25
We consider the new divisor 77 and the new remainder 25,and apply the division lemma to get
77 = 25 x 3 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2831 and 8391 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(77,25) = HCF(102,77) = HCF(2729,102) = HCF(2831,2729) = HCF(8391,2831) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2831, 8391 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 2831, 8391?
Answer: HCF of 2831, 8391 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2831, 8391 using Euclid's Algorithm?
Answer: For arbitrary numbers 2831, 8391 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.