Highest Common Factor of 3723, 5847 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 3723, 5847 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3723, 5847 is 3 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 3723, 5847 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 3723, 5847 is 3.
HCF(3723, 5847) = 3
HCF of 3723, 5847 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3723, 5847 is 3.
Highest Common Factor of 3723,5847 is 3
Step 1: Since 5847 > 3723, we apply the division lemma to 5847 and 3723, to get
5847 = 3723 x 1 + 2124
Step 2: Since the reminder 3723 ≠ 0, we apply division lemma to 2124 and 3723, to get
3723 = 2124 x 1 + 1599
Step 3: We consider the new divisor 2124 and the new remainder 1599, and apply the division lemma to get
2124 = 1599 x 1 + 525
We consider the new divisor 1599 and the new remainder 525,and apply the division lemma to get
1599 = 525 x 3 + 24
We consider the new divisor 525 and the new remainder 24,and apply the division lemma to get
525 = 24 x 21 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3723 and 5847 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(525,24) = HCF(1599,525) = HCF(2124,1599) = HCF(3723,2124) = HCF(5847,3723) .
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Frequently Asked Questions on HCF of 3723, 5847 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 3723, 5847?
Answer: HCF of 3723, 5847 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3723, 5847 using Euclid's Algorithm?
Answer: For arbitrary numbers 3723, 5847 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.