Highest Common Factor of 3183, 8862 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, 8862 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3183, 8862 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, 8862 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, 8862 is 3.
HCF(3183, 8862) = 3
HCF of 3183, 8862 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, 8862 is 3.
Highest Common Factor of 3183,8862 is 3
Step 1: Since 8862 > 3183, we apply the division lemma to 8862 and 3183, to get
8862 = 3183 x 2 + 2496
Step 2: Since the reminder 3183 ≠ 0, we apply division lemma to 2496 and 3183, to get
3183 = 2496 x 1 + 687
Step 3: We consider the new divisor 2496 and the new remainder 687, and apply the division lemma to get
2496 = 687 x 3 + 435
We consider the new divisor 687 and the new remainder 435,and apply the division lemma to get
687 = 435 x 1 + 252
We consider the new divisor 435 and the new remainder 252,and apply the division lemma to get
435 = 252 x 1 + 183
We consider the new divisor 252 and the new remainder 183,and apply the division lemma to get
252 = 183 x 1 + 69
We consider the new divisor 183 and the new remainder 69,and apply the division lemma to get
183 = 69 x 2 + 45
We consider the new divisor 69 and the new remainder 45,and apply the division lemma to get
69 = 45 x 1 + 24
We consider the new divisor 45 and the new remainder 24,and apply the division lemma to get
45 = 24 x 1 + 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 3183 and 8862 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(45,24) = HCF(69,45) = HCF(183,69) = HCF(252,183) = HCF(435,252) = HCF(687,435) = HCF(2496,687) = HCF(3183,2496) = HCF(8862,3183) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3183, 8862 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, 8862?
Answer: HCF of 3183, 8862 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3183, 8862 using Euclid's Algorithm?
Answer: For arbitrary numbers 3183, 8862 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.