Highest Common Factor of 3245, 6515, 61065 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 3245, 6515, 61065 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3245, 6515, 61065 is 5 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 3245, 6515, 61065 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 3245, 6515, 61065 is 5.
HCF(3245, 6515, 61065) = 5
HCF of 3245, 6515, 61065 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3245, 6515, 61065 is 5.
Highest Common Factor of 3245,6515,61065 is 5
Step 1: Since 6515 > 3245, we apply the division lemma to 6515 and 3245, to get
6515 = 3245 x 2 + 25
Step 2: Since the reminder 3245 ≠ 0, we apply division lemma to 25 and 3245, to get
3245 = 25 x 129 + 20
Step 3: We consider the new divisor 25 and the new remainder 20, and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5, and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3245 and 6515 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(3245,25) = HCF(6515,3245) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 61065 > 5, we apply the division lemma to 61065 and 5, to get
61065 = 5 x 12213 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 61065 is 5
Notice that 5 = HCF(61065,5) .
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Frequently Asked Questions on HCF of 3245, 6515, 61065 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 3245, 6515, 61065?
Answer: HCF of 3245, 6515, 61065 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3245, 6515, 61065 using Euclid's Algorithm?
Answer: For arbitrary numbers 3245, 6515, 61065 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.