Highest Common Factor of 396, 19711 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 396, 19711 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 396, 19711 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 396, 19711 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 396, 19711 is 1.
HCF(396, 19711) = 1
HCF of 396, 19711 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 396, 19711 is 1.
Highest Common Factor of 396,19711 is 1
Step 1: Since 19711 > 396, we apply the division lemma to 19711 and 396, to get
19711 = 396 x 49 + 307
Step 2: Since the reminder 396 ≠ 0, we apply division lemma to 307 and 396, to get
396 = 307 x 1 + 89
Step 3: We consider the new divisor 307 and the new remainder 89, and apply the division lemma to get
307 = 89 x 3 + 40
We consider the new divisor 89 and the new remainder 40,and apply the division lemma to get
89 = 40 x 2 + 9
We consider the new divisor 40 and the new remainder 9,and apply the division lemma to get
40 = 9 x 4 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 396 and 19711 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(40,9) = HCF(89,40) = HCF(307,89) = HCF(396,307) = HCF(19711,396) .
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Frequently Asked Questions on HCF of 396, 19711 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 396, 19711?
Answer: HCF of 396, 19711 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 396, 19711 using Euclid's Algorithm?
Answer: For arbitrary numbers 396, 19711 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.