Highest Common Factor of 580, 225 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 580, 225 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 580, 225 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 580, 225 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 580, 225 is 5.
HCF(580, 225) = 5
HCF of 580, 225 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 580, 225 is 5.
Highest Common Factor of 580,225 is 5
Step 1: Since 580 > 225, we apply the division lemma to 580 and 225, to get
580 = 225 x 2 + 130
Step 2: Since the reminder 225 ≠ 0, we apply division lemma to 130 and 225, to get
225 = 130 x 1 + 95
Step 3: We consider the new divisor 130 and the new remainder 95, and apply the division lemma to get
130 = 95 x 1 + 35
We consider the new divisor 95 and the new remainder 35,and apply the division lemma to get
95 = 35 x 2 + 25
We consider the new divisor 35 and the new remainder 25,and apply the division lemma to get
35 = 25 x 1 + 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 580 and 225 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(35,25) = HCF(95,35) = HCF(130,95) = HCF(225,130) = HCF(580,225) .
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Frequently Asked Questions on HCF of 580, 225 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 580, 225?
Answer: HCF of 580, 225 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 580, 225 using Euclid's Algorithm?
Answer: For arbitrary numbers 580, 225 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
