Highest Common Factor of 2505, 9632 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 2505, 9632 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2505, 9632 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 2505, 9632 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 2505, 9632 is 1.
HCF(2505, 9632) = 1
HCF of 2505, 9632 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2505, 9632 is 1.
Highest Common Factor of 2505,9632 is 1
Step 1: Since 9632 > 2505, we apply the division lemma to 9632 and 2505, to get
9632 = 2505 x 3 + 2117
Step 2: Since the reminder 2505 ≠ 0, we apply division lemma to 2117 and 2505, to get
2505 = 2117 x 1 + 388
Step 3: We consider the new divisor 2117 and the new remainder 388, and apply the division lemma to get
2117 = 388 x 5 + 177
We consider the new divisor 388 and the new remainder 177,and apply the division lemma to get
388 = 177 x 2 + 34
We consider the new divisor 177 and the new remainder 34,and apply the division lemma to get
177 = 34 x 5 + 7
We consider the new divisor 34 and the new remainder 7,and apply the division lemma to get
34 = 7 x 4 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2505 and 9632 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(34,7) = HCF(177,34) = HCF(388,177) = HCF(2117,388) = HCF(2505,2117) = HCF(9632,2505) .
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Frequently Asked Questions on HCF of 2505, 9632 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 2505, 9632?
Answer: HCF of 2505, 9632 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2505, 9632 using Euclid's Algorithm?
Answer: For arbitrary numbers 2505, 9632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
