Highest Common Factor of 800, 575, 430 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 800, 575, 430 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 800, 575, 430 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 800, 575, 430 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 800, 575, 430 is 5.
HCF(800, 575, 430) = 5
HCF of 800, 575, 430 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 800, 575, 430 is 5.
Highest Common Factor of 800,575,430 is 5
Step 1: Since 800 > 575, we apply the division lemma to 800 and 575, to get
800 = 575 x 1 + 225
Step 2: Since the reminder 575 ≠ 0, we apply division lemma to 225 and 575, to get
575 = 225 x 2 + 125
Step 3: We consider the new divisor 225 and the new remainder 125, and apply the division lemma to get
225 = 125 x 1 + 100
We consider the new divisor 125 and the new remainder 100,and apply the division lemma to get
125 = 100 x 1 + 25
We consider the new divisor 100 and the new remainder 25,and apply the division lemma to get
100 = 25 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 800 and 575 is 25
Notice that 25 = HCF(100,25) = HCF(125,100) = HCF(225,125) = HCF(575,225) = HCF(800,575) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 430 > 25, we apply the division lemma to 430 and 25, to get
430 = 25 x 17 + 5
Step 2: Since the reminder 25 ≠ 0, we apply division lemma to 5 and 25, 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 25 and 430 is 5
Notice that 5 = HCF(25,5) = HCF(430,25) .
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Frequently Asked Questions on HCF of 800, 575, 430 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 800, 575, 430?
Answer: HCF of 800, 575, 430 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 800, 575, 430 using Euclid's Algorithm?
Answer: For arbitrary numbers 800, 575, 430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.