Highest Common Factor of 5857, 4305 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 5857, 4305 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5857, 4305 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 5857, 4305 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 5857, 4305 is 1.
HCF(5857, 4305) = 1
HCF of 5857, 4305 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5857, 4305 is 1.
Highest Common Factor of 5857,4305 is 1
Step 1: Since 5857 > 4305, we apply the division lemma to 5857 and 4305, to get
5857 = 4305 x 1 + 1552
Step 2: Since the reminder 4305 ≠ 0, we apply division lemma to 1552 and 4305, to get
4305 = 1552 x 2 + 1201
Step 3: We consider the new divisor 1552 and the new remainder 1201, and apply the division lemma to get
1552 = 1201 x 1 + 351
We consider the new divisor 1201 and the new remainder 351,and apply the division lemma to get
1201 = 351 x 3 + 148
We consider the new divisor 351 and the new remainder 148,and apply the division lemma to get
351 = 148 x 2 + 55
We consider the new divisor 148 and the new remainder 55,and apply the division lemma to get
148 = 55 x 2 + 38
We consider the new divisor 55 and the new remainder 38,and apply the division lemma to get
55 = 38 x 1 + 17
We consider the new divisor 38 and the new remainder 17,and apply the division lemma to get
38 = 17 x 2 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5857 and 4305 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(38,17) = HCF(55,38) = HCF(148,55) = HCF(351,148) = HCF(1201,351) = HCF(1552,1201) = HCF(4305,1552) = HCF(5857,4305) .
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Frequently Asked Questions on HCF of 5857, 4305 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 5857, 4305?
Answer: HCF of 5857, 4305 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5857, 4305 using Euclid's Algorithm?
Answer: For arbitrary numbers 5857, 4305 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.