Highest Common Factor of 2023, 1042, 97231 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 2023, 1042, 97231 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2023, 1042, 97231 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 2023, 1042, 97231 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 2023, 1042, 97231 is 1.
HCF(2023, 1042, 97231) = 1
HCF of 2023, 1042, 97231 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2023, 1042, 97231 is 1.
Highest Common Factor of 2023,1042,97231 is 1
Step 1: Since 2023 > 1042, we apply the division lemma to 2023 and 1042, to get
2023 = 1042 x 1 + 981
Step 2: Since the reminder 1042 ≠ 0, we apply division lemma to 981 and 1042, to get
1042 = 981 x 1 + 61
Step 3: We consider the new divisor 981 and the new remainder 61, and apply the division lemma to get
981 = 61 x 16 + 5
We consider the new divisor 61 and the new remainder 5,and apply the division lemma to get
61 = 5 x 12 + 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 2023 and 1042 is 1
Notice that 1 = HCF(5,1) = HCF(61,5) = HCF(981,61) = HCF(1042,981) = HCF(2023,1042) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 97231 > 1, we apply the division lemma to 97231 and 1, to get
97231 = 1 x 97231 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97231 is 1
Notice that 1 = HCF(97231,1) .
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Frequently Asked Questions on HCF of 2023, 1042, 97231 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 2023, 1042, 97231?
Answer: HCF of 2023, 1042, 97231 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2023, 1042, 97231 using Euclid's Algorithm?
Answer: For arbitrary numbers 2023, 1042, 97231 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.