Highest Common Factor of 3187, 2821 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 3187, 2821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3187, 2821 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 3187, 2821 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 3187, 2821 is 1.
HCF(3187, 2821) = 1
HCF of 3187, 2821 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3187, 2821 is 1.
Highest Common Factor of 3187,2821 is 1
Step 1: Since 3187 > 2821, we apply the division lemma to 3187 and 2821, to get
3187 = 2821 x 1 + 366
Step 2: Since the reminder 2821 ≠ 0, we apply division lemma to 366 and 2821, to get
2821 = 366 x 7 + 259
Step 3: We consider the new divisor 366 and the new remainder 259, and apply the division lemma to get
366 = 259 x 1 + 107
We consider the new divisor 259 and the new remainder 107,and apply the division lemma to get
259 = 107 x 2 + 45
We consider the new divisor 107 and the new remainder 45,and apply the division lemma to get
107 = 45 x 2 + 17
We consider the new divisor 45 and the new remainder 17,and apply the division lemma to get
45 = 17 x 2 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3187 and 2821 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(45,17) = HCF(107,45) = HCF(259,107) = HCF(366,259) = HCF(2821,366) = HCF(3187,2821) .
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Frequently Asked Questions on HCF of 3187, 2821 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 3187, 2821?
Answer: HCF of 3187, 2821 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3187, 2821 using Euclid's Algorithm?
Answer: For arbitrary numbers 3187, 2821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
