Highest Common Factor of 7240, 9017 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 7240, 9017 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7240, 9017 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 7240, 9017 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 7240, 9017 is 1.
HCF(7240, 9017) = 1
HCF of 7240, 9017 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7240, 9017 is 1.
Highest Common Factor of 7240,9017 is 1
Step 1: Since 9017 > 7240, we apply the division lemma to 9017 and 7240, to get
9017 = 7240 x 1 + 1777
Step 2: Since the reminder 7240 ≠ 0, we apply division lemma to 1777 and 7240, to get
7240 = 1777 x 4 + 132
Step 3: We consider the new divisor 1777 and the new remainder 132, and apply the division lemma to get
1777 = 132 x 13 + 61
We consider the new divisor 132 and the new remainder 61,and apply the division lemma to get
132 = 61 x 2 + 10
We consider the new divisor 61 and the new remainder 10,and apply the division lemma to get
61 = 10 x 6 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7240 and 9017 is 1
Notice that 1 = HCF(10,1) = HCF(61,10) = HCF(132,61) = HCF(1777,132) = HCF(7240,1777) = HCF(9017,7240) .
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Frequently Asked Questions on HCF of 7240, 9017 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 7240, 9017?
Answer: HCF of 7240, 9017 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7240, 9017 using Euclid's Algorithm?
Answer: For arbitrary numbers 7240, 9017 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.