Highest Common Factor of 5219, 2538, 33261 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 5219, 2538, 33261 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5219, 2538, 33261 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 5219, 2538, 33261 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 5219, 2538, 33261 is 1.
HCF(5219, 2538, 33261) = 1
HCF of 5219, 2538, 33261 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5219, 2538, 33261 is 1.
Highest Common Factor of 5219,2538,33261 is 1
Step 1: Since 5219 > 2538, we apply the division lemma to 5219 and 2538, to get
5219 = 2538 x 2 + 143
Step 2: Since the reminder 2538 ≠ 0, we apply division lemma to 143 and 2538, to get
2538 = 143 x 17 + 107
Step 3: We consider the new divisor 143 and the new remainder 107, and apply the division lemma to get
143 = 107 x 1 + 36
We consider the new divisor 107 and the new remainder 36,and apply the division lemma to get
107 = 36 x 2 + 35
We consider the new divisor 36 and the new remainder 35,and apply the division lemma to get
36 = 35 x 1 + 1
We consider the new divisor 35 and the new remainder 1,and apply the division lemma to get
35 = 1 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5219 and 2538 is 1
Notice that 1 = HCF(35,1) = HCF(36,35) = HCF(107,36) = HCF(143,107) = HCF(2538,143) = HCF(5219,2538) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33261 > 1, we apply the division lemma to 33261 and 1, to get
33261 = 1 x 33261 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 33261 is 1
Notice that 1 = HCF(33261,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5219, 2538, 33261 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 5219, 2538, 33261?
Answer: HCF of 5219, 2538, 33261 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5219, 2538, 33261 using Euclid's Algorithm?
Answer: For arbitrary numbers 5219, 2538, 33261 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.