Highest Common Factor of 594, 903, 443 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 594, 903, 443 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 594, 903, 443 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 594, 903, 443 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 594, 903, 443 is 1.
HCF(594, 903, 443) = 1
HCF of 594, 903, 443 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 594, 903, 443 is 1.
Highest Common Factor of 594,903,443 is 1
Step 1: Since 903 > 594, we apply the division lemma to 903 and 594, to get
903 = 594 x 1 + 309
Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 309 and 594, to get
594 = 309 x 1 + 285
Step 3: We consider the new divisor 309 and the new remainder 285, and apply the division lemma to get
309 = 285 x 1 + 24
We consider the new divisor 285 and the new remainder 24,and apply the division lemma to get
285 = 24 x 11 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 594 and 903 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(285,24) = HCF(309,285) = HCF(594,309) = HCF(903,594) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 443 > 3, we apply the division lemma to 443 and 3, to get
443 = 3 x 147 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma 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 3 and 443 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(443,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 594, 903, 443 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 594, 903, 443?
Answer: HCF of 594, 903, 443 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 594, 903, 443 using Euclid's Algorithm?
Answer: For arbitrary numbers 594, 903, 443 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.