Highest Common Factor of 628, 395 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 628, 395 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 628, 395 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 628, 395 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 628, 395 is 1.
HCF(628, 395) = 1
HCF of 628, 395 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 628, 395 is 1.
Highest Common Factor of 628,395 is 1
Step 1: Since 628 > 395, we apply the division lemma to 628 and 395, to get
628 = 395 x 1 + 233
Step 2: Since the reminder 395 ≠ 0, we apply division lemma to 233 and 395, to get
395 = 233 x 1 + 162
Step 3: We consider the new divisor 233 and the new remainder 162, and apply the division lemma to get
233 = 162 x 1 + 71
We consider the new divisor 162 and the new remainder 71,and apply the division lemma to get
162 = 71 x 2 + 20
We consider the new divisor 71 and the new remainder 20,and apply the division lemma to get
71 = 20 x 3 + 11
We consider the new divisor 20 and the new remainder 11,and apply the division lemma to get
20 = 11 x 1 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 628 and 395 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(71,20) = HCF(162,71) = HCF(233,162) = HCF(395,233) = HCF(628,395) .
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Frequently Asked Questions on HCF of 628, 395 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 628, 395?
Answer: HCF of 628, 395 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 628, 395 using Euclid's Algorithm?
Answer: For arbitrary numbers 628, 395 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.