Highest Common Factor of 981, 205, 323 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 981, 205, 323 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 981, 205, 323 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 981, 205, 323 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 981, 205, 323 is 1.
HCF(981, 205, 323) = 1
HCF of 981, 205, 323 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 981, 205, 323 is 1.
Highest Common Factor of 981,205,323 is 1
Step 1: Since 981 > 205, we apply the division lemma to 981 and 205, to get
981 = 205 x 4 + 161
Step 2: Since the reminder 205 ≠ 0, we apply division lemma to 161 and 205, to get
205 = 161 x 1 + 44
Step 3: We consider the new divisor 161 and the new remainder 44, and apply the division lemma to get
161 = 44 x 3 + 29
We consider the new divisor 44 and the new remainder 29,and apply the division lemma to get
44 = 29 x 1 + 15
We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get
29 = 15 x 1 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 981 and 205 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(44,29) = HCF(161,44) = HCF(205,161) = HCF(981,205) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 323 > 1, we apply the division lemma to 323 and 1, to get
323 = 1 x 323 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 323 is 1
Notice that 1 = HCF(323,1) .
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Frequently Asked Questions on HCF of 981, 205, 323 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 981, 205, 323?
Answer: HCF of 981, 205, 323 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 981, 205, 323 using Euclid's Algorithm?
Answer: For arbitrary numbers 981, 205, 323 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.