Highest Common Factor of 540, 50571 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, 50571 i.e. 27 the largest integer that leaves a remainder zero for all numbers.
HCF of 540, 50571 is 27 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, 50571 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, 50571 is 27.
HCF(540, 50571) = 27
HCF of 540, 50571 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, 50571 is 27.
Highest Common Factor of 540,50571 is 27
Step 1: Since 50571 > 540, we apply the division lemma to 50571 and 540, to get
50571 = 540 x 93 + 351
Step 2: Since the reminder 540 ≠ 0, we apply division lemma to 351 and 540, to get
540 = 351 x 1 + 189
Step 3: We consider the new divisor 351 and the new remainder 189, and apply the division lemma to get
351 = 189 x 1 + 162
We consider the new divisor 189 and the new remainder 162,and apply the division lemma to get
189 = 162 x 1 + 27
We consider the new divisor 162 and the new remainder 27,and apply the division lemma to get
162 = 27 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 540 and 50571 is 27
Notice that 27 = HCF(162,27) = HCF(189,162) = HCF(351,189) = HCF(540,351) = HCF(50571,540) .
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, 50571 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, 50571?
Answer: HCF of 540, 50571 is 27 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 540, 50571 using Euclid's Algorithm?
Answer: For arbitrary numbers 540, 50571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.