Highest Common Factor of 5132, 8471 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 5132, 8471 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5132, 8471 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 5132, 8471 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 5132, 8471 is 1.
HCF(5132, 8471) = 1
HCF of 5132, 8471 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5132, 8471 is 1.
Highest Common Factor of 5132,8471 is 1
Step 1: Since 8471 > 5132, we apply the division lemma to 8471 and 5132, to get
8471 = 5132 x 1 + 3339
Step 2: Since the reminder 5132 ≠ 0, we apply division lemma to 3339 and 5132, to get
5132 = 3339 x 1 + 1793
Step 3: We consider the new divisor 3339 and the new remainder 1793, and apply the division lemma to get
3339 = 1793 x 1 + 1546
We consider the new divisor 1793 and the new remainder 1546,and apply the division lemma to get
1793 = 1546 x 1 + 247
We consider the new divisor 1546 and the new remainder 247,and apply the division lemma to get
1546 = 247 x 6 + 64
We consider the new divisor 247 and the new remainder 64,and apply the division lemma to get
247 = 64 x 3 + 55
We consider the new divisor 64 and the new remainder 55,and apply the division lemma to get
64 = 55 x 1 + 9
We consider the new divisor 55 and the new remainder 9,and apply the division lemma to get
55 = 9 x 6 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5132 and 8471 is 1
Notice that 1 = HCF(9,1) = HCF(55,9) = HCF(64,55) = HCF(247,64) = HCF(1546,247) = HCF(1793,1546) = HCF(3339,1793) = HCF(5132,3339) = HCF(8471,5132) .
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Frequently Asked Questions on HCF of 5132, 8471 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 5132, 8471?
Answer: HCF of 5132, 8471 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5132, 8471 using Euclid's Algorithm?
Answer: For arbitrary numbers 5132, 8471 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
