Highest Common Factor of 230, 805, 429 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 230, 805, 429 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 230, 805, 429 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 230, 805, 429 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 230, 805, 429 is 1.
HCF(230, 805, 429) = 1
HCF of 230, 805, 429 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 230, 805, 429 is 1.
Highest Common Factor of 230,805,429 is 1
Step 1: Since 805 > 230, we apply the division lemma to 805 and 230, to get
805 = 230 x 3 + 115
Step 2: Since the reminder 230 ≠ 0, we apply division lemma to 115 and 230, to get
230 = 115 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 115, the HCF of 230 and 805 is 115
Notice that 115 = HCF(230,115) = HCF(805,230) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 429 > 115, we apply the division lemma to 429 and 115, to get
429 = 115 x 3 + 84
Step 2: Since the reminder 115 ≠ 0, we apply division lemma to 84 and 115, to get
115 = 84 x 1 + 31
Step 3: We consider the new divisor 84 and the new remainder 31, and apply the division lemma to get
84 = 31 x 2 + 22
We consider the new divisor 31 and the new remainder 22,and apply the division lemma to get
31 = 22 x 1 + 9
We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get
22 = 9 x 2 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 115 and 429 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(84,31) = HCF(115,84) = HCF(429,115) .
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Frequently Asked Questions on HCF of 230, 805, 429 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 230, 805, 429?
Answer: HCF of 230, 805, 429 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 230, 805, 429 using Euclid's Algorithm?
Answer: For arbitrary numbers 230, 805, 429 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.