Highest Common Factor of 2501, 8578 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 2501, 8578 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2501, 8578 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 2501, 8578 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 2501, 8578 is 1.
HCF(2501, 8578) = 1
HCF of 2501, 8578 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2501, 8578 is 1.
Highest Common Factor of 2501,8578 is 1
Step 1: Since 8578 > 2501, we apply the division lemma to 8578 and 2501, to get
8578 = 2501 x 3 + 1075
Step 2: Since the reminder 2501 ≠ 0, we apply division lemma to 1075 and 2501, to get
2501 = 1075 x 2 + 351
Step 3: We consider the new divisor 1075 and the new remainder 351, and apply the division lemma to get
1075 = 351 x 3 + 22
We consider the new divisor 351 and the new remainder 22,and apply the division lemma to get
351 = 22 x 15 + 21
We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2501 and 8578 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(351,22) = HCF(1075,351) = HCF(2501,1075) = HCF(8578,2501) .
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Frequently Asked Questions on HCF of 2501, 8578 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 2501, 8578?
Answer: HCF of 2501, 8578 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2501, 8578 using Euclid's Algorithm?
Answer: For arbitrary numbers 2501, 8578 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.