Highest Common Factor of 5037, 9681 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 5037, 9681 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5037, 9681 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 5037, 9681 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 5037, 9681 is 3.
HCF(5037, 9681) = 3
HCF of 5037, 9681 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5037, 9681 is 3.
Highest Common Factor of 5037,9681 is 3
Step 1: Since 9681 > 5037, we apply the division lemma to 9681 and 5037, to get
9681 = 5037 x 1 + 4644
Step 2: Since the reminder 5037 ≠ 0, we apply division lemma to 4644 and 5037, to get
5037 = 4644 x 1 + 393
Step 3: We consider the new divisor 4644 and the new remainder 393, and apply the division lemma to get
4644 = 393 x 11 + 321
We consider the new divisor 393 and the new remainder 321,and apply the division lemma to get
393 = 321 x 1 + 72
We consider the new divisor 321 and the new remainder 72,and apply the division lemma to get
321 = 72 x 4 + 33
We consider the new divisor 72 and the new remainder 33,and apply the division lemma to get
72 = 33 x 2 + 6
We consider the new divisor 33 and the new remainder 6,and apply the division lemma to get
33 = 6 x 5 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5037 and 9681 is 3
Notice that 3 = HCF(6,3) = HCF(33,6) = HCF(72,33) = HCF(321,72) = HCF(393,321) = HCF(4644,393) = HCF(5037,4644) = HCF(9681,5037) .
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Frequently Asked Questions on HCF of 5037, 9681 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 5037, 9681?
Answer: HCF of 5037, 9681 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5037, 9681 using Euclid's Algorithm?
Answer: For arbitrary numbers 5037, 9681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
