Highest Common Factor of 462, 260, 543, 23 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 462, 260, 543, 23 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 462, 260, 543, 23 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 462, 260, 543, 23 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 462, 260, 543, 23 is 1.
HCF(462, 260, 543, 23) = 1
HCF of 462, 260, 543, 23 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 462, 260, 543, 23 is 1.
Highest Common Factor of 462,260,543,23 is 1
Step 1: Since 462 > 260, we apply the division lemma to 462 and 260, to get
462 = 260 x 1 + 202
Step 2: Since the reminder 260 ≠ 0, we apply division lemma to 202 and 260, to get
260 = 202 x 1 + 58
Step 3: We consider the new divisor 202 and the new remainder 58, and apply the division lemma to get
202 = 58 x 3 + 28
We consider the new divisor 58 and the new remainder 28,and apply the division lemma to get
58 = 28 x 2 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 462 and 260 is 2
Notice that 2 = HCF(28,2) = HCF(58,28) = HCF(202,58) = HCF(260,202) = HCF(462,260) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 543 > 2, we apply the division lemma to 543 and 2, to get
543 = 2 x 271 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 543 is 1
Notice that 1 = HCF(2,1) = HCF(543,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 23 > 1, we apply the division lemma to 23 and 1, to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 23 is 1
Notice that 1 = HCF(23,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 462, 260, 543, 23 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 462, 260, 543, 23?
Answer: HCF of 462, 260, 543, 23 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 462, 260, 543, 23 using Euclid's Algorithm?
Answer: For arbitrary numbers 462, 260, 543, 23 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.