Highest Common Factor of 573, 315 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, 315 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 573, 315 is 3 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, 315 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, 315 is 3.
HCF(573, 315) = 3
HCF of 573, 315 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, 315 is 3.
Highest Common Factor of 573,315 is 3
Step 1: Since 573 > 315, we apply the division lemma to 573 and 315, to get
573 = 315 x 1 + 258
Step 2: Since the reminder 315 ≠ 0, we apply division lemma to 258 and 315, to get
315 = 258 x 1 + 57
Step 3: We consider the new divisor 258 and the new remainder 57, and apply the division lemma to get
258 = 57 x 4 + 30
We consider the new divisor 57 and the new remainder 30,and apply the division lemma to get
57 = 30 x 1 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 573 and 315 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(57,30) = HCF(258,57) = HCF(315,258) = HCF(573,315) .
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Frequently Asked Questions on HCF of 573, 315 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, 315?
Answer: HCF of 573, 315 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 573, 315 using Euclid's Algorithm?
Answer: For arbitrary numbers 573, 315 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.