Highest Common Factor of 471, 701, 57, 582 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 471, 701, 57, 582 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 471, 701, 57, 582 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 471, 701, 57, 582 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 471, 701, 57, 582 is 1.
HCF(471, 701, 57, 582) = 1
HCF of 471, 701, 57, 582 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 471, 701, 57, 582 is 1.
Highest Common Factor of 471,701,57,582 is 1
Step 1: Since 701 > 471, we apply the division lemma to 701 and 471, to get
701 = 471 x 1 + 230
Step 2: Since the reminder 471 ≠ 0, we apply division lemma to 230 and 471, to get
471 = 230 x 2 + 11
Step 3: We consider the new divisor 230 and the new remainder 11, and apply the division lemma to get
230 = 11 x 20 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 471 and 701 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(230,11) = HCF(471,230) = HCF(701,471) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 57 > 1, we apply the division lemma to 57 and 1, to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57 is 1
Notice that 1 = HCF(57,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 582 > 1, we apply the division lemma to 582 and 1, to get
582 = 1 x 582 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 582 is 1
Notice that 1 = HCF(582,1) .
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Frequently Asked Questions on HCF of 471, 701, 57, 582 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 471, 701, 57, 582?
Answer: HCF of 471, 701, 57, 582 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 471, 701, 57, 582 using Euclid's Algorithm?
Answer: For arbitrary numbers 471, 701, 57, 582 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.