Highest Common Factor of 8643, 2055, 11839 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 8643, 2055, 11839 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8643, 2055, 11839 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 8643, 2055, 11839 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 8643, 2055, 11839 is 1.
HCF(8643, 2055, 11839) = 1
HCF of 8643, 2055, 11839 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8643, 2055, 11839 is 1.
Highest Common Factor of 8643,2055,11839 is 1
Step 1: Since 8643 > 2055, we apply the division lemma to 8643 and 2055, to get
8643 = 2055 x 4 + 423
Step 2: Since the reminder 2055 ≠ 0, we apply division lemma to 423 and 2055, to get
2055 = 423 x 4 + 363
Step 3: We consider the new divisor 423 and the new remainder 363, and apply the division lemma to get
423 = 363 x 1 + 60
We consider the new divisor 363 and the new remainder 60,and apply the division lemma to get
363 = 60 x 6 + 3
We consider the new divisor 60 and the new remainder 3,and apply the division lemma to get
60 = 3 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8643 and 2055 is 3
Notice that 3 = HCF(60,3) = HCF(363,60) = HCF(423,363) = HCF(2055,423) = HCF(8643,2055) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 11839 > 3, we apply the division lemma to 11839 and 3, to get
11839 = 3 x 3946 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 11839 is 1
Notice that 1 = HCF(3,1) = HCF(11839,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8643, 2055, 11839 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 8643, 2055, 11839?
Answer: HCF of 8643, 2055, 11839 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8643, 2055, 11839 using Euclid's Algorithm?
Answer: For arbitrary numbers 8643, 2055, 11839 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.