Highest Common Factor of 5761, 4363 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 5761, 4363 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5761, 4363 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 5761, 4363 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 5761, 4363 is 1.
HCF(5761, 4363) = 1
HCF of 5761, 4363 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5761, 4363 is 1.
Highest Common Factor of 5761,4363 is 1
Step 1: Since 5761 > 4363, we apply the division lemma to 5761 and 4363, to get
5761 = 4363 x 1 + 1398
Step 2: Since the reminder 4363 ≠ 0, we apply division lemma to 1398 and 4363, to get
4363 = 1398 x 3 + 169
Step 3: We consider the new divisor 1398 and the new remainder 169, and apply the division lemma to get
1398 = 169 x 8 + 46
We consider the new divisor 169 and the new remainder 46,and apply the division lemma to get
169 = 46 x 3 + 31
We consider the new divisor 46 and the new remainder 31,and apply the division lemma to get
46 = 31 x 1 + 15
We consider the new divisor 31 and the new remainder 15,and apply the division lemma to get
31 = 15 x 2 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5761 and 4363 is 1
Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(46,31) = HCF(169,46) = HCF(1398,169) = HCF(4363,1398) = HCF(5761,4363) .
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Frequently Asked Questions on HCF of 5761, 4363 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 5761, 4363?
Answer: HCF of 5761, 4363 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5761, 4363 using Euclid's Algorithm?
Answer: For arbitrary numbers 5761, 4363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.