Highest Common Factor of 7264, 571 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 7264, 571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7264, 571 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 7264, 571 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 7264, 571 is 1.
HCF(7264, 571) = 1
HCF of 7264, 571 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7264, 571 is 1.
Highest Common Factor of 7264,571 is 1
Step 1: Since 7264 > 571, we apply the division lemma to 7264 and 571, to get
7264 = 571 x 12 + 412
Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 412 and 571, to get
571 = 412 x 1 + 159
Step 3: We consider the new divisor 412 and the new remainder 159, and apply the division lemma to get
412 = 159 x 2 + 94
We consider the new divisor 159 and the new remainder 94,and apply the division lemma to get
159 = 94 x 1 + 65
We consider the new divisor 94 and the new remainder 65,and apply the division lemma to get
94 = 65 x 1 + 29
We consider the new divisor 65 and the new remainder 29,and apply the division lemma to get
65 = 29 x 2 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7264 and 571 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(65,29) = HCF(94,65) = HCF(159,94) = HCF(412,159) = HCF(571,412) = HCF(7264,571) .
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Frequently Asked Questions on HCF of 7264, 571 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 7264, 571?
Answer: HCF of 7264, 571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7264, 571 using Euclid's Algorithm?
Answer: For arbitrary numbers 7264, 571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.