Highest Common Factor of 2575, 1305 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 2575, 1305 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 2575, 1305 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 2575, 1305 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 2575, 1305 is 5.
HCF(2575, 1305) = 5
HCF of 2575, 1305 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2575, 1305 is 5.
Highest Common Factor of 2575,1305 is 5
Step 1: Since 2575 > 1305, we apply the division lemma to 2575 and 1305, to get
2575 = 1305 x 1 + 1270
Step 2: Since the reminder 1305 ≠ 0, we apply division lemma to 1270 and 1305, to get
1305 = 1270 x 1 + 35
Step 3: We consider the new divisor 1270 and the new remainder 35, and apply the division lemma to get
1270 = 35 x 36 + 10
We consider the new divisor 35 and the new remainder 10,and apply the division lemma to get
35 = 10 x 3 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 2575 and 1305 is 5
Notice that 5 = HCF(10,5) = HCF(35,10) = HCF(1270,35) = HCF(1305,1270) = HCF(2575,1305) .
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Frequently Asked Questions on HCF of 2575, 1305 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 2575, 1305?
Answer: HCF of 2575, 1305 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2575, 1305 using Euclid's Algorithm?
Answer: For arbitrary numbers 2575, 1305 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.