Highest Common Factor of 7571, 5012 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 7571, 5012 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7571, 5012 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 7571, 5012 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 7571, 5012 is 1.
HCF(7571, 5012) = 1
HCF of 7571, 5012 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7571, 5012 is 1.
Highest Common Factor of 7571,5012 is 1
Step 1: Since 7571 > 5012, we apply the division lemma to 7571 and 5012, to get
7571 = 5012 x 1 + 2559
Step 2: Since the reminder 5012 ≠ 0, we apply division lemma to 2559 and 5012, to get
5012 = 2559 x 1 + 2453
Step 3: We consider the new divisor 2559 and the new remainder 2453, and apply the division lemma to get
2559 = 2453 x 1 + 106
We consider the new divisor 2453 and the new remainder 106,and apply the division lemma to get
2453 = 106 x 23 + 15
We consider the new divisor 106 and the new remainder 15,and apply the division lemma to get
106 = 15 x 7 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7571 and 5012 is 1
Notice that 1 = HCF(15,1) = HCF(106,15) = HCF(2453,106) = HCF(2559,2453) = HCF(5012,2559) = HCF(7571,5012) .
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Frequently Asked Questions on HCF of 7571, 5012 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 7571, 5012?
Answer: HCF of 7571, 5012 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7571, 5012 using Euclid's Algorithm?
Answer: For arbitrary numbers 7571, 5012 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.