Highest Common Factor of 628, 462, 158 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, 462, 158 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 628, 462, 158 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 628, 462, 158 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, 462, 158 is 2.
HCF(628, 462, 158) = 2
HCF of 628, 462, 158 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, 462, 158 is 2.
Highest Common Factor of 628,462,158 is 2
Step 1: Since 628 > 462, we apply the division lemma to 628 and 462, to get
628 = 462 x 1 + 166
Step 2: Since the reminder 462 ≠ 0, we apply division lemma to 166 and 462, to get
462 = 166 x 2 + 130
Step 3: We consider the new divisor 166 and the new remainder 130, and apply the division lemma to get
166 = 130 x 1 + 36
We consider the new divisor 130 and the new remainder 36,and apply the division lemma to get
130 = 36 x 3 + 22
We consider the new divisor 36 and the new remainder 22,and apply the division lemma to get
36 = 22 x 1 + 14
We consider the new divisor 22 and the new remainder 14,and apply the division lemma to get
22 = 14 x 1 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 628 and 462 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(22,14) = HCF(36,22) = HCF(130,36) = HCF(166,130) = HCF(462,166) = HCF(628,462) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 158 > 2, we apply the division lemma to 158 and 2, to get
158 = 2 x 79 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 158 is 2
Notice that 2 = HCF(158,2) .
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Frequently Asked Questions on HCF of 628, 462, 158 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, 462, 158?
Answer: HCF of 628, 462, 158 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 628, 462, 158 using Euclid's Algorithm?
Answer: For arbitrary numbers 628, 462, 158 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.