Highest Common Factor of 2187, 4682 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 2187, 4682 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2187, 4682 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 2187, 4682 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 2187, 4682 is 1.
HCF(2187, 4682) = 1
HCF of 2187, 4682 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2187, 4682 is 1.
Highest Common Factor of 2187,4682 is 1
Step 1: Since 4682 > 2187, we apply the division lemma to 4682 and 2187, to get
4682 = 2187 x 2 + 308
Step 2: Since the reminder 2187 ≠ 0, we apply division lemma to 308 and 2187, to get
2187 = 308 x 7 + 31
Step 3: We consider the new divisor 308 and the new remainder 31, and apply the division lemma to get
308 = 31 x 9 + 29
We consider the new divisor 31 and the new remainder 29,and apply the division lemma to get
31 = 29 x 1 + 2
We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get
29 = 2 x 14 + 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 2187 and 4682 is 1
Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(31,29) = HCF(308,31) = HCF(2187,308) = HCF(4682,2187) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2187, 4682 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 2187, 4682?
Answer: HCF of 2187, 4682 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2187, 4682 using Euclid's Algorithm?
Answer: For arbitrary numbers 2187, 4682 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
