Highest Common Factor of 5138, 9281 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 5138, 9281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5138, 9281 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 5138, 9281 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 5138, 9281 is 1.
HCF(5138, 9281) = 1
HCF of 5138, 9281 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5138, 9281 is 1.
Highest Common Factor of 5138,9281 is 1
Step 1: Since 9281 > 5138, we apply the division lemma to 9281 and 5138, to get
9281 = 5138 x 1 + 4143
Step 2: Since the reminder 5138 ≠ 0, we apply division lemma to 4143 and 5138, to get
5138 = 4143 x 1 + 995
Step 3: We consider the new divisor 4143 and the new remainder 995, and apply the division lemma to get
4143 = 995 x 4 + 163
We consider the new divisor 995 and the new remainder 163,and apply the division lemma to get
995 = 163 x 6 + 17
We consider the new divisor 163 and the new remainder 17,and apply the division lemma to get
163 = 17 x 9 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 5138 and 9281 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(163,17) = HCF(995,163) = HCF(4143,995) = HCF(5138,4143) = HCF(9281,5138) .
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Frequently Asked Questions on HCF of 5138, 9281 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 5138, 9281?
Answer: HCF of 5138, 9281 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5138, 9281 using Euclid's Algorithm?
Answer: For arbitrary numbers 5138, 9281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.