Highest Common Factor of 2497, 7588 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 2497, 7588 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2497, 7588 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 2497, 7588 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 2497, 7588 is 1.
HCF(2497, 7588) = 1
HCF of 2497, 7588 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2497, 7588 is 1.
Highest Common Factor of 2497,7588 is 1
Step 1: Since 7588 > 2497, we apply the division lemma to 7588 and 2497, to get
7588 = 2497 x 3 + 97
Step 2: Since the reminder 2497 ≠ 0, we apply division lemma to 97 and 2497, to get
2497 = 97 x 25 + 72
Step 3: We consider the new divisor 97 and the new remainder 72, and apply the division lemma to get
97 = 72 x 1 + 25
We consider the new divisor 72 and the new remainder 25,and apply the division lemma to get
72 = 25 x 2 + 22
We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get
25 = 22 x 1 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2497 and 7588 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(72,25) = HCF(97,72) = HCF(2497,97) = HCF(7588,2497) .
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Frequently Asked Questions on HCF of 2497, 7588 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 2497, 7588?
Answer: HCF of 2497, 7588 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2497, 7588 using Euclid's Algorithm?
Answer: For arbitrary numbers 2497, 7588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.