Highest Common Factor of 5143, 6492 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 5143, 6492 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5143, 6492 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 5143, 6492 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 5143, 6492 is 1.
HCF(5143, 6492) = 1
HCF of 5143, 6492 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5143, 6492 is 1.
Highest Common Factor of 5143,6492 is 1
Step 1: Since 6492 > 5143, we apply the division lemma to 6492 and 5143, to get
6492 = 5143 x 1 + 1349
Step 2: Since the reminder 5143 ≠ 0, we apply division lemma to 1349 and 5143, to get
5143 = 1349 x 3 + 1096
Step 3: We consider the new divisor 1349 and the new remainder 1096, and apply the division lemma to get
1349 = 1096 x 1 + 253
We consider the new divisor 1096 and the new remainder 253,and apply the division lemma to get
1096 = 253 x 4 + 84
We consider the new divisor 253 and the new remainder 84,and apply the division lemma to get
253 = 84 x 3 + 1
We consider the new divisor 84 and the new remainder 1,and apply the division lemma to get
84 = 1 x 84 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5143 and 6492 is 1
Notice that 1 = HCF(84,1) = HCF(253,84) = HCF(1096,253) = HCF(1349,1096) = HCF(5143,1349) = HCF(6492,5143) .
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Frequently Asked Questions on HCF of 5143, 6492 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 5143, 6492?
Answer: HCF of 5143, 6492 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5143, 6492 using Euclid's Algorithm?
Answer: For arbitrary numbers 5143, 6492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
