Highest Common Factor of 540, 623, 165 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 540, 623, 165 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 540, 623, 165 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 540, 623, 165 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 540, 623, 165 is 1.
HCF(540, 623, 165) = 1
HCF of 540, 623, 165 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 540, 623, 165 is 1.
Highest Common Factor of 540,623,165 is 1
Step 1: Since 623 > 540, we apply the division lemma to 623 and 540, to get
623 = 540 x 1 + 83
Step 2: Since the reminder 540 ≠ 0, we apply division lemma to 83 and 540, to get
540 = 83 x 6 + 42
Step 3: We consider the new divisor 83 and the new remainder 42, and apply the division lemma to get
83 = 42 x 1 + 41
We consider the new divisor 42 and the new remainder 41,and apply the division lemma to get
42 = 41 x 1 + 1
We consider the new divisor 41 and the new remainder 1,and apply the division lemma to get
41 = 1 x 41 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 540 and 623 is 1
Notice that 1 = HCF(41,1) = HCF(42,41) = HCF(83,42) = HCF(540,83) = HCF(623,540) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 165 > 1, we apply the division lemma to 165 and 1, to get
165 = 1 x 165 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 165 is 1
Notice that 1 = HCF(165,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 540, 623, 165 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 540, 623, 165?
Answer: HCF of 540, 623, 165 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 540, 623, 165 using Euclid's Algorithm?
Answer: For arbitrary numbers 540, 623, 165 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.