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 230, 637, 211 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 230, 637, 211 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 230, 637, 211 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 230, 637, 211 is 1.
HCF(230, 637, 211) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 230, 637, 211 is 1.
Step 1: Since 637 > 230, we apply the division lemma to 637 and 230, to get
637 = 230 x 2 + 177
Step 2: Since the reminder 230 ≠ 0, we apply division lemma to 177 and 230, to get
230 = 177 x 1 + 53
Step 3: We consider the new divisor 177 and the new remainder 53, and apply the division lemma to get
177 = 53 x 3 + 18
We consider the new divisor 53 and the new remainder 18,and apply the division lemma to get
53 = 18 x 2 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 230 and 637 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(53,18) = HCF(177,53) = HCF(230,177) = HCF(637,230) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 211 > 1, we apply the division lemma to 211 and 1, to get
211 = 1 x 211 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 211 is 1
Notice that 1 = HCF(211,1) .
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 230, 637, 211?
Answer: HCF of 230, 637, 211 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 230, 637, 211 using Euclid's Algorithm?
Answer: For arbitrary numbers 230, 637, 211 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.