Highest Common Factor of 380, 482 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 380, 482 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 380, 482 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 380, 482 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 380, 482 is 2.
HCF(380, 482) = 2
HCF of 380, 482 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 380, 482 is 2.
Highest Common Factor of 380,482 is 2
Step 1: Since 482 > 380, we apply the division lemma to 482 and 380, to get
482 = 380 x 1 + 102
Step 2: Since the reminder 380 ≠ 0, we apply division lemma to 102 and 380, to get
380 = 102 x 3 + 74
Step 3: We consider the new divisor 102 and the new remainder 74, and apply the division lemma to get
102 = 74 x 1 + 28
We consider the new divisor 74 and the new remainder 28,and apply the division lemma to get
74 = 28 x 2 + 18
We consider the new divisor 28 and the new remainder 18,and apply the division lemma to get
28 = 18 x 1 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 380 and 482 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(28,18) = HCF(74,28) = HCF(102,74) = HCF(380,102) = HCF(482,380) .
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Frequently Asked Questions on HCF of 380, 482 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 380, 482?
Answer: HCF of 380, 482 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 380, 482 using Euclid's Algorithm?
Answer: For arbitrary numbers 380, 482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.