Highest Common Factor of 6012, 9181 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 6012, 9181 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6012, 9181 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 6012, 9181 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 6012, 9181 is 1.
HCF(6012, 9181) = 1
HCF of 6012, 9181 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6012, 9181 is 1.
Highest Common Factor of 6012,9181 is 1
Step 1: Since 9181 > 6012, we apply the division lemma to 9181 and 6012, to get
9181 = 6012 x 1 + 3169
Step 2: Since the reminder 6012 ≠ 0, we apply division lemma to 3169 and 6012, to get
6012 = 3169 x 1 + 2843
Step 3: We consider the new divisor 3169 and the new remainder 2843, and apply the division lemma to get
3169 = 2843 x 1 + 326
We consider the new divisor 2843 and the new remainder 326,and apply the division lemma to get
2843 = 326 x 8 + 235
We consider the new divisor 326 and the new remainder 235,and apply the division lemma to get
326 = 235 x 1 + 91
We consider the new divisor 235 and the new remainder 91,and apply the division lemma to get
235 = 91 x 2 + 53
We consider the new divisor 91 and the new remainder 53,and apply the division lemma to get
91 = 53 x 1 + 38
We consider the new divisor 53 and the new remainder 38,and apply the division lemma to get
53 = 38 x 1 + 15
We consider the new divisor 38 and the new remainder 15,and apply the division lemma to get
38 = 15 x 2 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6012 and 9181 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(38,15) = HCF(53,38) = HCF(91,53) = HCF(235,91) = HCF(326,235) = HCF(2843,326) = HCF(3169,2843) = HCF(6012,3169) = HCF(9181,6012) .
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Frequently Asked Questions on HCF of 6012, 9181 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 6012, 9181?
Answer: HCF of 6012, 9181 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6012, 9181 using Euclid's Algorithm?
Answer: For arbitrary numbers 6012, 9181 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.