Highest Common Factor of 809, 588, 385 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 809, 588, 385 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 809, 588, 385 is 1 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 809, 588, 385 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 809, 588, 385 is 1.
HCF(809, 588, 385) = 1
HCF of 809, 588, 385 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 809, 588, 385 is 1.
Highest Common Factor of 809,588,385 is 1
Step 1: Since 809 > 588, we apply the division lemma to 809 and 588, to get
809 = 588 x 1 + 221
Step 2: Since the reminder 588 ≠ 0, we apply division lemma to 221 and 588, to get
588 = 221 x 2 + 146
Step 3: We consider the new divisor 221 and the new remainder 146, and apply the division lemma to get
221 = 146 x 1 + 75
We consider the new divisor 146 and the new remainder 75,and apply the division lemma to get
146 = 75 x 1 + 71
We consider the new divisor 75 and the new remainder 71,and apply the division lemma to get
75 = 71 x 1 + 4
We consider the new divisor 71 and the new remainder 4,and apply the division lemma to get
71 = 4 x 17 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 809 and 588 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(71,4) = HCF(75,71) = HCF(146,75) = HCF(221,146) = HCF(588,221) = HCF(809,588) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 385 > 1, we apply the division lemma to 385 and 1, to get
385 = 1 x 385 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 385 is 1
Notice that 1 = HCF(385,1) .
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Frequently Asked Questions on HCF of 809, 588, 385 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 809, 588, 385?
Answer: HCF of 809, 588, 385 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 809, 588, 385 using Euclid's Algorithm?
Answer: For arbitrary numbers 809, 588, 385 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
