Highest Common Factor of 4582, 3985, 61384 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 4582, 3985, 61384 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4582, 3985, 61384 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 4582, 3985, 61384 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 4582, 3985, 61384 is 1.
HCF(4582, 3985, 61384) = 1
HCF of 4582, 3985, 61384 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4582, 3985, 61384 is 1.
Highest Common Factor of 4582,3985,61384 is 1
Step 1: Since 4582 > 3985, we apply the division lemma to 4582 and 3985, to get
4582 = 3985 x 1 + 597
Step 2: Since the reminder 3985 ≠ 0, we apply division lemma to 597 and 3985, to get
3985 = 597 x 6 + 403
Step 3: We consider the new divisor 597 and the new remainder 403, and apply the division lemma to get
597 = 403 x 1 + 194
We consider the new divisor 403 and the new remainder 194,and apply the division lemma to get
403 = 194 x 2 + 15
We consider the new divisor 194 and the new remainder 15,and apply the division lemma to get
194 = 15 x 12 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4582 and 3985 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(194,15) = HCF(403,194) = HCF(597,403) = HCF(3985,597) = HCF(4582,3985) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 61384 > 1, we apply the division lemma to 61384 and 1, to get
61384 = 1 x 61384 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 61384 is 1
Notice that 1 = HCF(61384,1) .
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Frequently Asked Questions on HCF of 4582, 3985, 61384 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 4582, 3985, 61384?
Answer: HCF of 4582, 3985, 61384 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4582, 3985, 61384 using Euclid's Algorithm?
Answer: For arbitrary numbers 4582, 3985, 61384 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
