Highest Common Factor of 7245, 5517 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 7245, 5517 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 7245, 5517 is 9 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 7245, 5517 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 7245, 5517 is 9.
HCF(7245, 5517) = 9
HCF of 7245, 5517 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7245, 5517 is 9.
Highest Common Factor of 7245,5517 is 9
Step 1: Since 7245 > 5517, we apply the division lemma to 7245 and 5517, to get
7245 = 5517 x 1 + 1728
Step 2: Since the reminder 5517 ≠ 0, we apply division lemma to 1728 and 5517, to get
5517 = 1728 x 3 + 333
Step 3: We consider the new divisor 1728 and the new remainder 333, and apply the division lemma to get
1728 = 333 x 5 + 63
We consider the new divisor 333 and the new remainder 63,and apply the division lemma to get
333 = 63 x 5 + 18
We consider the new divisor 63 and the new remainder 18,and apply the division lemma to get
63 = 18 x 3 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 7245 and 5517 is 9
Notice that 9 = HCF(18,9) = HCF(63,18) = HCF(333,63) = HCF(1728,333) = HCF(5517,1728) = HCF(7245,5517) .
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Frequently Asked Questions on HCF of 7245, 5517 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 7245, 5517?
Answer: HCF of 7245, 5517 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7245, 5517 using Euclid's Algorithm?
Answer: For arbitrary numbers 7245, 5517 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.