Highest Common Factor of 981, 9523 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, 9523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 981, 9523 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, 9523 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, 9523 is 1.
HCF(981, 9523) = 1
HCF of 981, 9523 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, 9523 is 1.
Highest Common Factor of 981,9523 is 1
Step 1: Since 9523 > 981, we apply the division lemma to 9523 and 981, to get
9523 = 981 x 9 + 694
Step 2: Since the reminder 981 ≠ 0, we apply division lemma to 694 and 981, to get
981 = 694 x 1 + 287
Step 3: We consider the new divisor 694 and the new remainder 287, and apply the division lemma to get
694 = 287 x 2 + 120
We consider the new divisor 287 and the new remainder 120,and apply the division lemma to get
287 = 120 x 2 + 47
We consider the new divisor 120 and the new remainder 47,and apply the division lemma to get
120 = 47 x 2 + 26
We consider the new divisor 47 and the new remainder 26,and apply the division lemma to get
47 = 26 x 1 + 21
We consider the new divisor 26 and the new remainder 21,and apply the division lemma to get
26 = 21 x 1 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 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 981 and 9523 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(47,26) = HCF(120,47) = HCF(287,120) = HCF(694,287) = HCF(981,694) = HCF(9523,981) .
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Frequently Asked Questions on HCF of 981, 9523 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, 9523?
Answer: HCF of 981, 9523 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 981, 9523 using Euclid's Algorithm?
Answer: For arbitrary numbers 981, 9523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.