Highest Common Factor of 3111, 2682 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 3111, 2682 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3111, 2682 is 3 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 3111, 2682 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 3111, 2682 is 3.
HCF(3111, 2682) = 3
HCF of 3111, 2682 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3111, 2682 is 3.
Highest Common Factor of 3111,2682 is 3
Step 1: Since 3111 > 2682, we apply the division lemma to 3111 and 2682, to get
3111 = 2682 x 1 + 429
Step 2: Since the reminder 2682 ≠ 0, we apply division lemma to 429 and 2682, to get
2682 = 429 x 6 + 108
Step 3: We consider the new divisor 429 and the new remainder 108, and apply the division lemma to get
429 = 108 x 3 + 105
We consider the new divisor 108 and the new remainder 105,and apply the division lemma to get
108 = 105 x 1 + 3
We consider the new divisor 105 and the new remainder 3,and apply the division lemma to get
105 = 3 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3111 and 2682 is 3
Notice that 3 = HCF(105,3) = HCF(108,105) = HCF(429,108) = HCF(2682,429) = HCF(3111,2682) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3111, 2682 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 3111, 2682?
Answer: HCF of 3111, 2682 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3111, 2682 using Euclid's Algorithm?
Answer: For arbitrary numbers 3111, 2682 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.