Highest Common Factor of 3183, 3849 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 3183, 3849 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3183, 3849 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 3183, 3849 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 3183, 3849 is 3.
HCF(3183, 3849) = 3
HCF of 3183, 3849 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3183, 3849 is 3.
Highest Common Factor of 3183,3849 is 3
Step 1: Since 3849 > 3183, we apply the division lemma to 3849 and 3183, to get
3849 = 3183 x 1 + 666
Step 2: Since the reminder 3183 ≠ 0, we apply division lemma to 666 and 3183, to get
3183 = 666 x 4 + 519
Step 3: We consider the new divisor 666 and the new remainder 519, and apply the division lemma to get
666 = 519 x 1 + 147
We consider the new divisor 519 and the new remainder 147,and apply the division lemma to get
519 = 147 x 3 + 78
We consider the new divisor 147 and the new remainder 78,and apply the division lemma to get
147 = 78 x 1 + 69
We consider the new divisor 78 and the new remainder 69,and apply the division lemma to get
78 = 69 x 1 + 9
We consider the new divisor 69 and the new remainder 9,and apply the division lemma to get
69 = 9 x 7 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3183 and 3849 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(69,9) = HCF(78,69) = HCF(147,78) = HCF(519,147) = HCF(666,519) = HCF(3183,666) = HCF(3849,3183) .
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Frequently Asked Questions on HCF of 3183, 3849 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 3183, 3849?
Answer: HCF of 3183, 3849 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3183, 3849 using Euclid's Algorithm?
Answer: For arbitrary numbers 3183, 3849 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.