Highest Common Factor of 2645, 1205 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 2645, 1205 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 2645, 1205 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 2645, 1205 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 2645, 1205 is 5.
HCF(2645, 1205) = 5
HCF of 2645, 1205 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2645, 1205 is 5.
Highest Common Factor of 2645,1205 is 5
Step 1: Since 2645 > 1205, we apply the division lemma to 2645 and 1205, to get
2645 = 1205 x 2 + 235
Step 2: Since the reminder 1205 ≠ 0, we apply division lemma to 235 and 1205, to get
1205 = 235 x 5 + 30
Step 3: We consider the new divisor 235 and the new remainder 30, and apply the division lemma to get
235 = 30 x 7 + 25
We consider the new divisor 30 and the new remainder 25,and apply the division lemma to get
30 = 25 x 1 + 5
We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 2645 and 1205 is 5
Notice that 5 = HCF(25,5) = HCF(30,25) = HCF(235,30) = HCF(1205,235) = HCF(2645,1205) .
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Frequently Asked Questions on HCF of 2645, 1205 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 2645, 1205?
Answer: HCF of 2645, 1205 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2645, 1205 using Euclid's Algorithm?
Answer: For arbitrary numbers 2645, 1205 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.