Highest Common Factor of 585, 815, 265 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 585, 815, 265 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 585, 815, 265 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 585, 815, 265 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 585, 815, 265 is 5.
HCF(585, 815, 265) = 5
HCF of 585, 815, 265 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 585, 815, 265 is 5.
Highest Common Factor of 585,815,265 is 5
Step 1: Since 815 > 585, we apply the division lemma to 815 and 585, to get
815 = 585 x 1 + 230
Step 2: Since the reminder 585 ≠ 0, we apply division lemma to 230 and 585, to get
585 = 230 x 2 + 125
Step 3: We consider the new divisor 230 and the new remainder 125, and apply the division lemma to get
230 = 125 x 1 + 105
We consider the new divisor 125 and the new remainder 105,and apply the division lemma to get
125 = 105 x 1 + 20
We consider the new divisor 105 and the new remainder 20,and apply the division lemma to get
105 = 20 x 5 + 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 585 and 815 is 5
Notice that 5 = HCF(20,5) = HCF(105,20) = HCF(125,105) = HCF(230,125) = HCF(585,230) = HCF(815,585) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 265 > 5, we apply the division lemma to 265 and 5, to get
265 = 5 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 265 is 5
Notice that 5 = HCF(265,5) .
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Frequently Asked Questions on HCF of 585, 815, 265 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 585, 815, 265?
Answer: HCF of 585, 815, 265 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 585, 815, 265 using Euclid's Algorithm?
Answer: For arbitrary numbers 585, 815, 265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.