Highest Common Factor of 2128, 5818 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 2128, 5818 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2128, 5818 is 2 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 2128, 5818 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 2128, 5818 is 2.
HCF(2128, 5818) = 2
HCF of 2128, 5818 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2128, 5818 is 2.
Highest Common Factor of 2128,5818 is 2
Step 1: Since 5818 > 2128, we apply the division lemma to 5818 and 2128, to get
5818 = 2128 x 2 + 1562
Step 2: Since the reminder 2128 ≠ 0, we apply division lemma to 1562 and 2128, to get
2128 = 1562 x 1 + 566
Step 3: We consider the new divisor 1562 and the new remainder 566, and apply the division lemma to get
1562 = 566 x 2 + 430
We consider the new divisor 566 and the new remainder 430,and apply the division lemma to get
566 = 430 x 1 + 136
We consider the new divisor 430 and the new remainder 136,and apply the division lemma to get
430 = 136 x 3 + 22
We consider the new divisor 136 and the new remainder 22,and apply the division lemma to get
136 = 22 x 6 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2128 and 5818 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(136,22) = HCF(430,136) = HCF(566,430) = HCF(1562,566) = HCF(2128,1562) = HCF(5818,2128) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2128, 5818 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 2128, 5818?
Answer: HCF of 2128, 5818 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2128, 5818 using Euclid's Algorithm?
Answer: For arbitrary numbers 2128, 5818 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.