Highest Common Factor of 9836, 3681 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 9836, 3681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9836, 3681 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 9836, 3681 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 9836, 3681 is 1.
HCF(9836, 3681) = 1
HCF of 9836, 3681 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9836, 3681 is 1.
Highest Common Factor of 9836,3681 is 1
Step 1: Since 9836 > 3681, we apply the division lemma to 9836 and 3681, to get
9836 = 3681 x 2 + 2474
Step 2: Since the reminder 3681 ≠ 0, we apply division lemma to 2474 and 3681, to get
3681 = 2474 x 1 + 1207
Step 3: We consider the new divisor 2474 and the new remainder 1207, and apply the division lemma to get
2474 = 1207 x 2 + 60
We consider the new divisor 1207 and the new remainder 60,and apply the division lemma to get
1207 = 60 x 20 + 7
We consider the new divisor 60 and the new remainder 7,and apply the division lemma to get
60 = 7 x 8 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9836 and 3681 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(60,7) = HCF(1207,60) = HCF(2474,1207) = HCF(3681,2474) = HCF(9836,3681) .
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Frequently Asked Questions on HCF of 9836, 3681 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 9836, 3681?
Answer: HCF of 9836, 3681 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9836, 3681 using Euclid's Algorithm?
Answer: For arbitrary numbers 9836, 3681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.