Highest Common Factor of 4071, 5749 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 4071, 5749 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4071, 5749 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 4071, 5749 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 4071, 5749 is 1.
HCF(4071, 5749) = 1
HCF of 4071, 5749 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4071, 5749 is 1.
Highest Common Factor of 4071,5749 is 1
Step 1: Since 5749 > 4071, we apply the division lemma to 5749 and 4071, to get
5749 = 4071 x 1 + 1678
Step 2: Since the reminder 4071 ≠ 0, we apply division lemma to 1678 and 4071, to get
4071 = 1678 x 2 + 715
Step 3: We consider the new divisor 1678 and the new remainder 715, and apply the division lemma to get
1678 = 715 x 2 + 248
We consider the new divisor 715 and the new remainder 248,and apply the division lemma to get
715 = 248 x 2 + 219
We consider the new divisor 248 and the new remainder 219,and apply the division lemma to get
248 = 219 x 1 + 29
We consider the new divisor 219 and the new remainder 29,and apply the division lemma to get
219 = 29 x 7 + 16
We consider the new divisor 29 and the new remainder 16,and apply the division lemma to get
29 = 16 x 1 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4071 and 5749 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(29,16) = HCF(219,29) = HCF(248,219) = HCF(715,248) = HCF(1678,715) = HCF(4071,1678) = HCF(5749,4071) .
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Frequently Asked Questions on HCF of 4071, 5749 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 4071, 5749?
Answer: HCF of 4071, 5749 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4071, 5749 using Euclid's Algorithm?
Answer: For arbitrary numbers 4071, 5749 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
