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 216, 540, 885 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 216, 540, 885 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 216, 540, 885 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 216, 540, 885 is 3.
HCF(216, 540, 885) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 216, 540, 885 is 3.
Step 1: Since 540 > 216, we apply the division lemma to 540 and 216, to get
540 = 216 x 2 + 108
Step 2: Since the reminder 216 ≠ 0, we apply division lemma to 108 and 216, to get
216 = 108 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 108, the HCF of 216 and 540 is 108
Notice that 108 = HCF(216,108) = HCF(540,216) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 885 > 108, we apply the division lemma to 885 and 108, to get
885 = 108 x 8 + 21
Step 2: Since the reminder 108 ≠ 0, we apply division lemma to 21 and 108, to get
108 = 21 x 5 + 3
Step 3: We consider the new divisor 21 and the new remainder 3, and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 108 and 885 is 3
Notice that 3 = HCF(21,3) = HCF(108,21) = HCF(885,108) .
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 216, 540, 885?
Answer: HCF of 216, 540, 885 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 216, 540, 885 using Euclid's Algorithm?
Answer: For arbitrary numbers 216, 540, 885 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.