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 1443, 2590, 54041 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1443, 2590, 54041 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 1443, 2590, 54041 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 1443, 2590, 54041 is 1.
HCF(1443, 2590, 54041) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1443, 2590, 54041 is 1.
Step 1: Since 2590 > 1443, we apply the division lemma to 2590 and 1443, to get
2590 = 1443 x 1 + 1147
Step 2: Since the reminder 1443 ≠ 0, we apply division lemma to 1147 and 1443, to get
1443 = 1147 x 1 + 296
Step 3: We consider the new divisor 1147 and the new remainder 296, and apply the division lemma to get
1147 = 296 x 3 + 259
We consider the new divisor 296 and the new remainder 259,and apply the division lemma to get
296 = 259 x 1 + 37
We consider the new divisor 259 and the new remainder 37,and apply the division lemma to get
259 = 37 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 1443 and 2590 is 37
Notice that 37 = HCF(259,37) = HCF(296,259) = HCF(1147,296) = HCF(1443,1147) = HCF(2590,1443) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 54041 > 37, we apply the division lemma to 54041 and 37, to get
54041 = 37 x 1460 + 21
Step 2: Since the reminder 37 ≠ 0, we apply division lemma to 21 and 37, to get
37 = 21 x 1 + 16
Step 3: We consider the new divisor 21 and the new remainder 16, and apply the division lemma to get
21 = 16 x 1 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 37 and 54041 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(37,21) = HCF(54041,37) .
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 1443, 2590, 54041?
Answer: HCF of 1443, 2590, 54041 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1443, 2590, 54041 using Euclid's Algorithm?
Answer: For arbitrary numbers 1443, 2590, 54041 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.