Highest Common Factor of 2581, 9407 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 2581, 9407 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2581, 9407 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 2581, 9407 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 2581, 9407 is 1.
HCF(2581, 9407) = 1
HCF of 2581, 9407 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2581, 9407 is 1.
Highest Common Factor of 2581,9407 is 1
Step 1: Since 9407 > 2581, we apply the division lemma to 9407 and 2581, to get
9407 = 2581 x 3 + 1664
Step 2: Since the reminder 2581 ≠ 0, we apply division lemma to 1664 and 2581, to get
2581 = 1664 x 1 + 917
Step 3: We consider the new divisor 1664 and the new remainder 917, and apply the division lemma to get
1664 = 917 x 1 + 747
We consider the new divisor 917 and the new remainder 747,and apply the division lemma to get
917 = 747 x 1 + 170
We consider the new divisor 747 and the new remainder 170,and apply the division lemma to get
747 = 170 x 4 + 67
We consider the new divisor 170 and the new remainder 67,and apply the division lemma to get
170 = 67 x 2 + 36
We consider the new divisor 67 and the new remainder 36,and apply the division lemma to get
67 = 36 x 1 + 31
We consider the new divisor 36 and the new remainder 31,and apply the division lemma to get
36 = 31 x 1 + 5
We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get
31 = 5 x 6 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2581 and 9407 is 1
Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(36,31) = HCF(67,36) = HCF(170,67) = HCF(747,170) = HCF(917,747) = HCF(1664,917) = HCF(2581,1664) = HCF(9407,2581) .
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Frequently Asked Questions on HCF of 2581, 9407 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 2581, 9407?
Answer: HCF of 2581, 9407 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2581, 9407 using Euclid's Algorithm?
Answer: For arbitrary numbers 2581, 9407 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
