Highest Common Factor of 2515, 1850 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 2515, 1850 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 2515, 1850 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 2515, 1850 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 2515, 1850 is 5.
HCF(2515, 1850) = 5
HCF of 2515, 1850 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2515, 1850 is 5.
Highest Common Factor of 2515,1850 is 5
Step 1: Since 2515 > 1850, we apply the division lemma to 2515 and 1850, to get
2515 = 1850 x 1 + 665
Step 2: Since the reminder 1850 ≠ 0, we apply division lemma to 665 and 1850, to get
1850 = 665 x 2 + 520
Step 3: We consider the new divisor 665 and the new remainder 520, and apply the division lemma to get
665 = 520 x 1 + 145
We consider the new divisor 520 and the new remainder 145,and apply the division lemma to get
520 = 145 x 3 + 85
We consider the new divisor 145 and the new remainder 85,and apply the division lemma to get
145 = 85 x 1 + 60
We consider the new divisor 85 and the new remainder 60,and apply the division lemma to get
85 = 60 x 1 + 25
We consider the new divisor 60 and the new remainder 25,and apply the division lemma to get
60 = 25 x 2 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 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 2515 and 1850 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(60,25) = HCF(85,60) = HCF(145,85) = HCF(520,145) = HCF(665,520) = HCF(1850,665) = HCF(2515,1850) .
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Frequently Asked Questions on HCF of 2515, 1850 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 2515, 1850?
Answer: HCF of 2515, 1850 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2515, 1850 using Euclid's Algorithm?
Answer: For arbitrary numbers 2515, 1850 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.