Highest Common Factor of 3013, 7181 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 3013, 7181 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3013, 7181 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 3013, 7181 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 3013, 7181 is 1.
HCF(3013, 7181) = 1
HCF of 3013, 7181 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3013, 7181 is 1.
Highest Common Factor of 3013,7181 is 1
Step 1: Since 7181 > 3013, we apply the division lemma to 7181 and 3013, to get
7181 = 3013 x 2 + 1155
Step 2: Since the reminder 3013 ≠ 0, we apply division lemma to 1155 and 3013, to get
3013 = 1155 x 2 + 703
Step 3: We consider the new divisor 1155 and the new remainder 703, and apply the division lemma to get
1155 = 703 x 1 + 452
We consider the new divisor 703 and the new remainder 452,and apply the division lemma to get
703 = 452 x 1 + 251
We consider the new divisor 452 and the new remainder 251,and apply the division lemma to get
452 = 251 x 1 + 201
We consider the new divisor 251 and the new remainder 201,and apply the division lemma to get
251 = 201 x 1 + 50
We consider the new divisor 201 and the new remainder 50,and apply the division lemma to get
201 = 50 x 4 + 1
We consider the new divisor 50 and the new remainder 1,and apply the division lemma to get
50 = 1 x 50 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3013 and 7181 is 1
Notice that 1 = HCF(50,1) = HCF(201,50) = HCF(251,201) = HCF(452,251) = HCF(703,452) = HCF(1155,703) = HCF(3013,1155) = HCF(7181,3013) .
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Frequently Asked Questions on HCF of 3013, 7181 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 3013, 7181?
Answer: HCF of 3013, 7181 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3013, 7181 using Euclid's Algorithm?
Answer: For arbitrary numbers 3013, 7181 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.