Highest Common Factor of 573, 344, 328 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 573, 344, 328 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 573, 344, 328 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 573, 344, 328 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 573, 344, 328 is 1.
HCF(573, 344, 328) = 1
HCF of 573, 344, 328 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 573, 344, 328 is 1.
Highest Common Factor of 573,344,328 is 1
Step 1: Since 573 > 344, we apply the division lemma to 573 and 344, to get
573 = 344 x 1 + 229
Step 2: Since the reminder 344 ≠ 0, we apply division lemma to 229 and 344, to get
344 = 229 x 1 + 115
Step 3: We consider the new divisor 229 and the new remainder 115, and apply the division lemma to get
229 = 115 x 1 + 114
We consider the new divisor 115 and the new remainder 114,and apply the division lemma to get
115 = 114 x 1 + 1
We consider the new divisor 114 and the new remainder 1,and apply the division lemma to get
114 = 1 x 114 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 573 and 344 is 1
Notice that 1 = HCF(114,1) = HCF(115,114) = HCF(229,115) = HCF(344,229) = HCF(573,344) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 328 > 1, we apply the division lemma to 328 and 1, to get
328 = 1 x 328 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 328 is 1
Notice that 1 = HCF(328,1) .
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Frequently Asked Questions on HCF of 573, 344, 328 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 573, 344, 328?
Answer: HCF of 573, 344, 328 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 573, 344, 328 using Euclid's Algorithm?
Answer: For arbitrary numbers 573, 344, 328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.