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 4213, 397 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4213, 397 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 4213, 397 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 4213, 397 is 1.
HCF(4213, 397) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4213, 397 is 1.
Step 1: Since 4213 > 397, we apply the division lemma to 4213 and 397, to get
4213 = 397 x 10 + 243
Step 2: Since the reminder 397 ≠ 0, we apply division lemma to 243 and 397, to get
397 = 243 x 1 + 154
Step 3: We consider the new divisor 243 and the new remainder 154, and apply the division lemma to get
243 = 154 x 1 + 89
We consider the new divisor 154 and the new remainder 89,and apply the division lemma to get
154 = 89 x 1 + 65
We consider the new divisor 89 and the new remainder 65,and apply the division lemma to get
89 = 65 x 1 + 24
We consider the new divisor 65 and the new remainder 24,and apply the division lemma to get
65 = 24 x 2 + 17
We consider the new divisor 24 and the new remainder 17,and apply the division lemma to get
24 = 17 x 1 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4213 and 397 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(24,17) = HCF(65,24) = HCF(89,65) = HCF(154,89) = HCF(243,154) = HCF(397,243) = HCF(4213,397) .
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 4213, 397?
Answer: HCF of 4213, 397 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4213, 397 using Euclid's Algorithm?
Answer: For arbitrary numbers 4213, 397 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.