Highest Common Factor of 812, 229 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 812, 229 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 812, 229 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 812, 229 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 812, 229 is 1.
HCF(812, 229) = 1
HCF of 812, 229 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 812, 229 is 1.
Highest Common Factor of 812,229 is 1
Step 1: Since 812 > 229, we apply the division lemma to 812 and 229, to get
812 = 229 x 3 + 125
Step 2: Since the reminder 229 ≠ 0, we apply division lemma to 125 and 229, to get
229 = 125 x 1 + 104
Step 3: We consider the new divisor 125 and the new remainder 104, and apply the division lemma to get
125 = 104 x 1 + 21
We consider the new divisor 104 and the new remainder 21,and apply the division lemma to get
104 = 21 x 4 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 812 and 229 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(104,21) = HCF(125,104) = HCF(229,125) = HCF(812,229) .
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Frequently Asked Questions on HCF of 812, 229 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 812, 229?
Answer: HCF of 812, 229 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 812, 229 using Euclid's Algorithm?
Answer: For arbitrary numbers 812, 229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.