Highest Common Factor of 382, 582, 655, 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 382, 582, 655, 482 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 382, 582, 655, 482 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 382, 582, 655, 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 382, 582, 655, 482 is 1.
HCF(382, 582, 655, 482) = 1
HCF of 382, 582, 655, 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 382, 582, 655, 482 is 1.
Highest Common Factor of 382,582,655,482 is 1
Step 1: Since 582 > 382, we apply the division lemma to 582 and 382, to get
582 = 382 x 1 + 200
Step 2: Since the reminder 382 ≠ 0, we apply division lemma to 200 and 382, to get
382 = 200 x 1 + 182
Step 3: We consider the new divisor 200 and the new remainder 182, and apply the division lemma to get
200 = 182 x 1 + 18
We consider the new divisor 182 and the new remainder 18,and apply the division lemma to get
182 = 18 x 10 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 382 and 582 is 2
Notice that 2 = HCF(18,2) = HCF(182,18) = HCF(200,182) = HCF(382,200) = HCF(582,382) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 655 > 2, we apply the division lemma to 655 and 2, to get
655 = 2 x 327 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 655 is 1
Notice that 1 = HCF(2,1) = HCF(655,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 482 > 1, we apply the division lemma to 482 and 1, to get
482 = 1 x 482 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 482 is 1
Notice that 1 = HCF(482,1) .
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Frequently Asked Questions on HCF of 382, 582, 655, 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 382, 582, 655, 482?
Answer: HCF of 382, 582, 655, 482 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 382, 582, 655, 482 using Euclid's Algorithm?
Answer: For arbitrary numbers 382, 582, 655, 482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
