Highest Common Factor of 566, 6075 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 566, 6075 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 566, 6075 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 566, 6075 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 566, 6075 is 1.
HCF(566, 6075) = 1
HCF of 566, 6075 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 566, 6075 is 1.
Highest Common Factor of 566,6075 is 1
Step 1: Since 6075 > 566, we apply the division lemma to 6075 and 566, to get
6075 = 566 x 10 + 415
Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 415 and 566, to get
566 = 415 x 1 + 151
Step 3: We consider the new divisor 415 and the new remainder 151, and apply the division lemma to get
415 = 151 x 2 + 113
We consider the new divisor 151 and the new remainder 113,and apply the division lemma to get
151 = 113 x 1 + 38
We consider the new divisor 113 and the new remainder 38,and apply the division lemma to get
113 = 38 x 2 + 37
We consider the new divisor 38 and the new remainder 37,and apply the division lemma to get
38 = 37 x 1 + 1
We consider the new divisor 37 and the new remainder 1,and apply the division lemma to get
37 = 1 x 37 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 566 and 6075 is 1
Notice that 1 = HCF(37,1) = HCF(38,37) = HCF(113,38) = HCF(151,113) = HCF(415,151) = HCF(566,415) = HCF(6075,566) .
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Frequently Asked Questions on HCF of 566, 6075 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 566, 6075?
Answer: HCF of 566, 6075 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 566, 6075 using Euclid's Algorithm?
Answer: For arbitrary numbers 566, 6075 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.