Highest Common Factor of 394, 16716 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 394, 16716 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 394, 16716 is 2 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 394, 16716 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 394, 16716 is 2.
HCF(394, 16716) = 2
HCF of 394, 16716 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 394, 16716 is 2.
Highest Common Factor of 394,16716 is 2
Step 1: Since 16716 > 394, we apply the division lemma to 16716 and 394, to get
16716 = 394 x 42 + 168
Step 2: Since the reminder 394 ≠ 0, we apply division lemma to 168 and 394, to get
394 = 168 x 2 + 58
Step 3: We consider the new divisor 168 and the new remainder 58, and apply the division lemma to get
168 = 58 x 2 + 52
We consider the new divisor 58 and the new remainder 52,and apply the division lemma to get
58 = 52 x 1 + 6
We consider the new divisor 52 and the new remainder 6,and apply the division lemma to get
52 = 6 x 8 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 394 and 16716 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(52,6) = HCF(58,52) = HCF(168,58) = HCF(394,168) = HCF(16716,394) .
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Frequently Asked Questions on HCF of 394, 16716 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 394, 16716?
Answer: HCF of 394, 16716 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 394, 16716 using Euclid's Algorithm?
Answer: For arbitrary numbers 394, 16716 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.