Highest Common Factor of 396, 639 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, 639 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 396, 639 is 9 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, 639 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, 639 is 9.
HCF(396, 639) = 9
HCF of 396, 639 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, 639 is 9.
Highest Common Factor of 396,639 is 9
Step 1: Since 639 > 396, we apply the division lemma to 639 and 396, to get
639 = 396 x 1 + 243
Step 2: Since the reminder 396 ≠ 0, we apply division lemma to 243 and 396, to get
396 = 243 x 1 + 153
Step 3: We consider the new divisor 243 and the new remainder 153, and apply the division lemma to get
243 = 153 x 1 + 90
We consider the new divisor 153 and the new remainder 90,and apply the division lemma to get
153 = 90 x 1 + 63
We consider the new divisor 90 and the new remainder 63,and apply the division lemma to get
90 = 63 x 1 + 27
We consider the new divisor 63 and the new remainder 27,and apply the division lemma to get
63 = 27 x 2 + 9
We consider the new divisor 27 and the new remainder 9,and apply the division lemma to get
27 = 9 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 396 and 639 is 9
Notice that 9 = HCF(27,9) = HCF(63,27) = HCF(90,63) = HCF(153,90) = HCF(243,153) = HCF(396,243) = HCF(639,396) .
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Frequently Asked Questions on HCF of 396, 639 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, 639?
Answer: HCF of 396, 639 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 396, 639 using Euclid's Algorithm?
Answer: For arbitrary numbers 396, 639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
