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 2543, 8800 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2543, 8800 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 2543, 8800 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 2543, 8800 is 1.
HCF(2543, 8800) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2543, 8800 is 1.
Step 1: Since 8800 > 2543, we apply the division lemma to 8800 and 2543, to get
8800 = 2543 x 3 + 1171
Step 2: Since the reminder 2543 ≠ 0, we apply division lemma to 1171 and 2543, to get
2543 = 1171 x 2 + 201
Step 3: We consider the new divisor 1171 and the new remainder 201, and apply the division lemma to get
1171 = 201 x 5 + 166
We consider the new divisor 201 and the new remainder 166,and apply the division lemma to get
201 = 166 x 1 + 35
We consider the new divisor 166 and the new remainder 35,and apply the division lemma to get
166 = 35 x 4 + 26
We consider the new divisor 35 and the new remainder 26,and apply the division lemma to get
35 = 26 x 1 + 9
We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get
26 = 9 x 2 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2543 and 8800 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(35,26) = HCF(166,35) = HCF(201,166) = HCF(1171,201) = HCF(2543,1171) = HCF(8800,2543) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 2543, 8800?
Answer: HCF of 2543, 8800 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2543, 8800 using Euclid's Algorithm?
Answer: For arbitrary numbers 2543, 8800 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.