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 3543, 5148 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3543, 5148 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 3543, 5148 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 3543, 5148 is 3.
HCF(3543, 5148) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3543, 5148 is 3.
Step 1: Since 5148 > 3543, we apply the division lemma to 5148 and 3543, to get
5148 = 3543 x 1 + 1605
Step 2: Since the reminder 3543 ≠ 0, we apply division lemma to 1605 and 3543, to get
3543 = 1605 x 2 + 333
Step 3: We consider the new divisor 1605 and the new remainder 333, and apply the division lemma to get
1605 = 333 x 4 + 273
We consider the new divisor 333 and the new remainder 273,and apply the division lemma to get
333 = 273 x 1 + 60
We consider the new divisor 273 and the new remainder 60,and apply the division lemma to get
273 = 60 x 4 + 33
We consider the new divisor 60 and the new remainder 33,and apply the division lemma to get
60 = 33 x 1 + 27
We consider the new divisor 33 and the new remainder 27,and apply the division lemma to get
33 = 27 x 1 + 6
We consider the new divisor 27 and the new remainder 6,and apply the division lemma to get
27 = 6 x 4 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3543 and 5148 is 3
Notice that 3 = HCF(6,3) = HCF(27,6) = HCF(33,27) = HCF(60,33) = HCF(273,60) = HCF(333,273) = HCF(1605,333) = HCF(3543,1605) = HCF(5148,3543) .
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 3543, 5148?
Answer: HCF of 3543, 5148 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3543, 5148 using Euclid's Algorithm?
Answer: For arbitrary numbers 3543, 5148 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.