Highest Common Factor of 393, 639, 612 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 393, 639, 612 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 393, 639, 612 is 3 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 393, 639, 612 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 393, 639, 612 is 3.
HCF(393, 639, 612) = 3
HCF of 393, 639, 612 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 393, 639, 612 is 3.
Highest Common Factor of 393,639,612 is 3
Step 1: Since 639 > 393, we apply the division lemma to 639 and 393, to get
639 = 393 x 1 + 246
Step 2: Since the reminder 393 ≠ 0, we apply division lemma to 246 and 393, to get
393 = 246 x 1 + 147
Step 3: We consider the new divisor 246 and the new remainder 147, and apply the division lemma to get
246 = 147 x 1 + 99
We consider the new divisor 147 and the new remainder 99,and apply the division lemma to get
147 = 99 x 1 + 48
We consider the new divisor 99 and the new remainder 48,and apply the division lemma to get
99 = 48 x 2 + 3
We consider the new divisor 48 and the new remainder 3,and apply the division lemma to get
48 = 3 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 393 and 639 is 3
Notice that 3 = HCF(48,3) = HCF(99,48) = HCF(147,99) = HCF(246,147) = HCF(393,246) = HCF(639,393) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 612 > 3, we apply the division lemma to 612 and 3, to get
612 = 3 x 204 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 612 is 3
Notice that 3 = HCF(612,3) .
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Frequently Asked Questions on HCF of 393, 639, 612 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 393, 639, 612?
Answer: HCF of 393, 639, 612 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 393, 639, 612 using Euclid's Algorithm?
Answer: For arbitrary numbers 393, 639, 612 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.