Highest Common Factor of 5181, 9825 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 5181, 9825 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5181, 9825 is 3 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 5181, 9825 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 5181, 9825 is 3.
HCF(5181, 9825) = 3
HCF of 5181, 9825 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5181, 9825 is 3.
Highest Common Factor of 5181,9825 is 3
Step 1: Since 9825 > 5181, we apply the division lemma to 9825 and 5181, to get
9825 = 5181 x 1 + 4644
Step 2: Since the reminder 5181 ≠ 0, we apply division lemma to 4644 and 5181, to get
5181 = 4644 x 1 + 537
Step 3: We consider the new divisor 4644 and the new remainder 537, and apply the division lemma to get
4644 = 537 x 8 + 348
We consider the new divisor 537 and the new remainder 348,and apply the division lemma to get
537 = 348 x 1 + 189
We consider the new divisor 348 and the new remainder 189,and apply the division lemma to get
348 = 189 x 1 + 159
We consider the new divisor 189 and the new remainder 159,and apply the division lemma to get
189 = 159 x 1 + 30
We consider the new divisor 159 and the new remainder 30,and apply the division lemma to get
159 = 30 x 5 + 9
We consider the new divisor 30 and the new remainder 9,and apply the division lemma to get
30 = 9 x 3 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5181 and 9825 is 3
Notice that 3 = HCF(9,3) = HCF(30,9) = HCF(159,30) = HCF(189,159) = HCF(348,189) = HCF(537,348) = HCF(4644,537) = HCF(5181,4644) = HCF(9825,5181) .
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Frequently Asked Questions on HCF of 5181, 9825 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 5181, 9825?
Answer: HCF of 5181, 9825 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5181, 9825 using Euclid's Algorithm?
Answer: For arbitrary numbers 5181, 9825 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.