Highest Common Factor of 382, 58 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 382, 58 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 382, 58 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 382, 58 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 382, 58 is 2.
HCF(382, 58) = 2
HCF of 382, 58 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 382, 58 is 2.
Highest Common Factor of 382,58 is 2
Step 1: Since 382 > 58, we apply the division lemma to 382 and 58, to get
382 = 58 x 6 + 34
Step 2: Since the reminder 58 ≠ 0, we apply division lemma to 34 and 58, to get
58 = 34 x 1 + 24
Step 3: We consider the new divisor 34 and the new remainder 24, and apply the division lemma to get
34 = 24 x 1 + 10
We consider the new divisor 24 and the new remainder 10,and apply the division lemma to get
24 = 10 x 2 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 382 and 58 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(24,10) = HCF(34,24) = HCF(58,34) = HCF(382,58) .
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Frequently Asked Questions on HCF of 382, 58 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 382, 58?
Answer: HCF of 382, 58 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 382, 58 using Euclid's Algorithm?
Answer: For arbitrary numbers 382, 58 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.