Highest Common Factor of 271, 981, 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 271, 981, 432 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 271, 981, 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 271, 981, 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 271, 981, 432 is 1.
HCF(271, 981, 432) = 1
HCF of 271, 981, 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 271, 981, 432 is 1.
Highest Common Factor of 271,981,432 is 1
Step 1: Since 981 > 271, we apply the division lemma to 981 and 271, to get
981 = 271 x 3 + 168
Step 2: Since the reminder 271 ≠ 0, we apply division lemma to 168 and 271, to get
271 = 168 x 1 + 103
Step 3: We consider the new divisor 168 and the new remainder 103, and apply the division lemma to get
168 = 103 x 1 + 65
We consider the new divisor 103 and the new remainder 65,and apply the division lemma to get
103 = 65 x 1 + 38
We consider the new divisor 65 and the new remainder 38,and apply the division lemma to get
65 = 38 x 1 + 27
We consider the new divisor 38 and the new remainder 27,and apply the division lemma to get
38 = 27 x 1 + 11
We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get
27 = 11 x 2 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 271 and 981 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(38,27) = HCF(65,38) = HCF(103,65) = HCF(168,103) = HCF(271,168) = HCF(981,271) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 432 > 1, we apply the division lemma to 432 and 1, to get
432 = 1 x 432 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 432 is 1
Notice that 1 = HCF(432,1) .
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Frequently Asked Questions on HCF of 271, 981, 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 271, 981, 432?
Answer: HCF of 271, 981, 432 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 271, 981, 432 using Euclid's Algorithm?
Answer: For arbitrary numbers 271, 981, 432 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.