Highest Common Factor of 9031, 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 9031, 9681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9031, 9681 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 9031, 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 9031, 9681 is 1.
HCF(9031, 9681) = 1
HCF of 9031, 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 9031, 9681 is 1.
Highest Common Factor of 9031,9681 is 1
Step 1: Since 9681 > 9031, we apply the division lemma to 9681 and 9031, to get
9681 = 9031 x 1 + 650
Step 2: Since the reminder 9031 ≠ 0, we apply division lemma to 650 and 9031, to get
9031 = 650 x 13 + 581
Step 3: We consider the new divisor 650 and the new remainder 581, and apply the division lemma to get
650 = 581 x 1 + 69
We consider the new divisor 581 and the new remainder 69,and apply the division lemma to get
581 = 69 x 8 + 29
We consider the new divisor 69 and the new remainder 29,and apply the division lemma to get
69 = 29 x 2 + 11
We consider the new divisor 29 and the new remainder 11,and apply the division lemma to get
29 = 11 x 2 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 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 9031 and 9681 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(29,11) = HCF(69,29) = HCF(581,69) = HCF(650,581) = HCF(9031,650) = HCF(9681,9031) .
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Frequently Asked Questions on HCF of 9031, 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 9031, 9681?
Answer: HCF of 9031, 9681 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9031, 9681 using Euclid's Algorithm?
Answer: For arbitrary numbers 9031, 9681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
