Highest Common Factor of 412, 2683, 6275 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 412, 2683, 6275 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 412, 2683, 6275 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 412, 2683, 6275 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 412, 2683, 6275 is 1.
HCF(412, 2683, 6275) = 1
HCF of 412, 2683, 6275 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 412, 2683, 6275 is 1.
Highest Common Factor of 412,2683,6275 is 1
Step 1: Since 2683 > 412, we apply the division lemma to 2683 and 412, to get
2683 = 412 x 6 + 211
Step 2: Since the reminder 412 ≠ 0, we apply division lemma to 211 and 412, to get
412 = 211 x 1 + 201
Step 3: We consider the new divisor 211 and the new remainder 201, and apply the division lemma to get
211 = 201 x 1 + 10
We consider the new divisor 201 and the new remainder 10,and apply the division lemma to get
201 = 10 x 20 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 412 and 2683 is 1
Notice that 1 = HCF(10,1) = HCF(201,10) = HCF(211,201) = HCF(412,211) = HCF(2683,412) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6275 > 1, we apply the division lemma to 6275 and 1, to get
6275 = 1 x 6275 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6275 is 1
Notice that 1 = HCF(6275,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 412, 2683, 6275 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 412, 2683, 6275?
Answer: HCF of 412, 2683, 6275 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 412, 2683, 6275 using Euclid's Algorithm?
Answer: For arbitrary numbers 412, 2683, 6275 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.