Highest Common Factor of 9031, 3386 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, 3386 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9031, 3386 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, 3386 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, 3386 is 1.
HCF(9031, 3386) = 1
HCF of 9031, 3386 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, 3386 is 1.
Highest Common Factor of 9031,3386 is 1
Step 1: Since 9031 > 3386, we apply the division lemma to 9031 and 3386, to get
9031 = 3386 x 2 + 2259
Step 2: Since the reminder 3386 ≠ 0, we apply division lemma to 2259 and 3386, to get
3386 = 2259 x 1 + 1127
Step 3: We consider the new divisor 2259 and the new remainder 1127, and apply the division lemma to get
2259 = 1127 x 2 + 5
We consider the new divisor 1127 and the new remainder 5,and apply the division lemma to get
1127 = 5 x 225 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9031 and 3386 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(1127,5) = HCF(2259,1127) = HCF(3386,2259) = HCF(9031,3386) .
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Frequently Asked Questions on HCF of 9031, 3386 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, 3386?
Answer: HCF of 9031, 3386 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9031, 3386 using Euclid's Algorithm?
Answer: For arbitrary numbers 9031, 3386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.