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 1861, 3814 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1861, 3814 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 1861, 3814 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 1861, 3814 is 1.
HCF(1861, 3814) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1861, 3814 is 1.
Step 1: Since 3814 > 1861, we apply the division lemma to 3814 and 1861, to get
3814 = 1861 x 2 + 92
Step 2: Since the reminder 1861 ≠ 0, we apply division lemma to 92 and 1861, to get
1861 = 92 x 20 + 21
Step 3: We consider the new divisor 92 and the new remainder 21, and apply the division lemma to get
92 = 21 x 4 + 8
We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get
21 = 8 x 2 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 1861 and 3814 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(92,21) = HCF(1861,92) = HCF(3814,1861) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 1861, 3814?
Answer: HCF of 1861, 3814 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1861, 3814 using Euclid's Algorithm?
Answer: For arbitrary numbers 1861, 3814 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.