Highest Common Factor of 5731, 9857 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 5731, 9857 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5731, 9857 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 5731, 9857 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 5731, 9857 is 1.
HCF(5731, 9857) = 1
HCF of 5731, 9857 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5731, 9857 is 1.
Highest Common Factor of 5731,9857 is 1
Step 1: Since 9857 > 5731, we apply the division lemma to 9857 and 5731, to get
9857 = 5731 x 1 + 4126
Step 2: Since the reminder 5731 ≠ 0, we apply division lemma to 4126 and 5731, to get
5731 = 4126 x 1 + 1605
Step 3: We consider the new divisor 4126 and the new remainder 1605, and apply the division lemma to get
4126 = 1605 x 2 + 916
We consider the new divisor 1605 and the new remainder 916,and apply the division lemma to get
1605 = 916 x 1 + 689
We consider the new divisor 916 and the new remainder 689,and apply the division lemma to get
916 = 689 x 1 + 227
We consider the new divisor 689 and the new remainder 227,and apply the division lemma to get
689 = 227 x 3 + 8
We consider the new divisor 227 and the new remainder 8,and apply the division lemma to get
227 = 8 x 28 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5731 and 9857 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(227,8) = HCF(689,227) = HCF(916,689) = HCF(1605,916) = HCF(4126,1605) = HCF(5731,4126) = HCF(9857,5731) .
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Frequently Asked Questions on HCF of 5731, 9857 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 5731, 9857?
Answer: HCF of 5731, 9857 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5731, 9857 using Euclid's Algorithm?
Answer: For arbitrary numbers 5731, 9857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.