Highest Common Factor of 583, 477, 445 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 583, 477, 445 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 583, 477, 445 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 583, 477, 445 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 583, 477, 445 is 1.
HCF(583, 477, 445) = 1
HCF of 583, 477, 445 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 583, 477, 445 is 1.
Highest Common Factor of 583,477,445 is 1
Step 1: Since 583 > 477, we apply the division lemma to 583 and 477, to get
583 = 477 x 1 + 106
Step 2: Since the reminder 477 ≠ 0, we apply division lemma to 106 and 477, to get
477 = 106 x 4 + 53
Step 3: We consider the new divisor 106 and the new remainder 53, and apply the division lemma to get
106 = 53 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 53, the HCF of 583 and 477 is 53
Notice that 53 = HCF(106,53) = HCF(477,106) = HCF(583,477) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 445 > 53, we apply the division lemma to 445 and 53, to get
445 = 53 x 8 + 21
Step 2: Since the reminder 53 ≠ 0, we apply division lemma to 21 and 53, to get
53 = 21 x 2 + 11
Step 3: We consider the new divisor 21 and the new remainder 11, and apply the division lemma to get
21 = 11 x 1 + 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 53 and 445 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(53,21) = HCF(445,53) .
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Frequently Asked Questions on HCF of 583, 477, 445 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 583, 477, 445?
Answer: HCF of 583, 477, 445 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 583, 477, 445 using Euclid's Algorithm?
Answer: For arbitrary numbers 583, 477, 445 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.