Highest Common Factor of 573, 915 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, 915 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 573, 915 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, 915 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, 915 is 3.
HCF(573, 915) = 3
HCF of 573, 915 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, 915 is 3.
Highest Common Factor of 573,915 is 3
Step 1: Since 915 > 573, we apply the division lemma to 915 and 573, to get
915 = 573 x 1 + 342
Step 2: Since the reminder 573 ≠ 0, we apply division lemma to 342 and 573, to get
573 = 342 x 1 + 231
Step 3: We consider the new divisor 342 and the new remainder 231, and apply the division lemma to get
342 = 231 x 1 + 111
We consider the new divisor 231 and the new remainder 111,and apply the division lemma to get
231 = 111 x 2 + 9
We consider the new divisor 111 and the new remainder 9,and apply the division lemma to get
111 = 9 x 12 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 573 and 915 is 3
Notice that 3 = HCF(9,3) = HCF(111,9) = HCF(231,111) = HCF(342,231) = HCF(573,342) = HCF(915,573) .
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Frequently Asked Questions on HCF of 573, 915 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, 915?
Answer: HCF of 573, 915 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 573, 915 using Euclid's Algorithm?
Answer: For arbitrary numbers 573, 915 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.