Highest Common Factor of 217, 812, 432 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 217, 812, 432 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 217, 812, 432 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 217, 812, 432 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 217, 812, 432 is 1.
HCF(217, 812, 432) = 1
HCF of 217, 812, 432 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 217, 812, 432 is 1.
Highest Common Factor of 217,812,432 is 1
Step 1: Since 812 > 217, we apply the division lemma to 812 and 217, to get
812 = 217 x 3 + 161
Step 2: Since the reminder 217 ≠ 0, we apply division lemma to 161 and 217, to get
217 = 161 x 1 + 56
Step 3: We consider the new divisor 161 and the new remainder 56, and apply the division lemma to get
161 = 56 x 2 + 49
We consider the new divisor 56 and the new remainder 49,and apply the division lemma to get
56 = 49 x 1 + 7
We consider the new divisor 49 and the new remainder 7,and apply the division lemma to get
49 = 7 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 217 and 812 is 7
Notice that 7 = HCF(49,7) = HCF(56,49) = HCF(161,56) = HCF(217,161) = HCF(812,217) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 432 > 7, we apply the division lemma to 432 and 7, to get
432 = 7 x 61 + 5
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 5 and 7, to get
7 = 5 x 1 + 2
Step 3: We consider the new divisor 5 and the new remainder 2, and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 432 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(432,7) .
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Frequently Asked Questions on HCF of 217, 812, 432 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 217, 812, 432?
Answer: HCF of 217, 812, 432 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 217, 812, 432 using Euclid's Algorithm?
Answer: For arbitrary numbers 217, 812, 432 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.