Highest Common Factor of 471, 577, 404 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, 577, 404 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 471, 577, 404 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, 577, 404 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, 577, 404 is 1.
HCF(471, 577, 404) = 1
HCF of 471, 577, 404 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, 577, 404 is 1.
Highest Common Factor of 471,577,404 is 1
Step 1: Since 577 > 471, we apply the division lemma to 577 and 471, to get
577 = 471 x 1 + 106
Step 2: Since the reminder 471 ≠ 0, we apply division lemma to 106 and 471, to get
471 = 106 x 4 + 47
Step 3: We consider the new divisor 106 and the new remainder 47, and apply the division lemma to get
106 = 47 x 2 + 12
We consider the new divisor 47 and the new remainder 12,and apply the division lemma to get
47 = 12 x 3 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 471 and 577 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(47,12) = HCF(106,47) = HCF(471,106) = HCF(577,471) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 404 > 1, we apply the division lemma to 404 and 1, to get
404 = 1 x 404 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 404 is 1
Notice that 1 = HCF(404,1) .
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Frequently Asked Questions on HCF of 471, 577, 404 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, 577, 404?
Answer: HCF of 471, 577, 404 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 471, 577, 404 using Euclid's Algorithm?
Answer: For arbitrary numbers 471, 577, 404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
