Highest Common Factor of 2051, 3718 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 2051, 3718 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2051, 3718 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 2051, 3718 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 2051, 3718 is 1.
HCF(2051, 3718) = 1
HCF of 2051, 3718 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2051, 3718 is 1.
Highest Common Factor of 2051,3718 is 1
Step 1: Since 3718 > 2051, we apply the division lemma to 3718 and 2051, to get
3718 = 2051 x 1 + 1667
Step 2: Since the reminder 2051 ≠ 0, we apply division lemma to 1667 and 2051, to get
2051 = 1667 x 1 + 384
Step 3: We consider the new divisor 1667 and the new remainder 384, and apply the division lemma to get
1667 = 384 x 4 + 131
We consider the new divisor 384 and the new remainder 131,and apply the division lemma to get
384 = 131 x 2 + 122
We consider the new divisor 131 and the new remainder 122,and apply the division lemma to get
131 = 122 x 1 + 9
We consider the new divisor 122 and the new remainder 9,and apply the division lemma to get
122 = 9 x 13 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2051 and 3718 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(122,9) = HCF(131,122) = HCF(384,131) = HCF(1667,384) = HCF(2051,1667) = HCF(3718,2051) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2051, 3718 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 2051, 3718?
Answer: HCF of 2051, 3718 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2051, 3718 using Euclid's Algorithm?
Answer: For arbitrary numbers 2051, 3718 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
