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 882, 531, 28 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 882, 531, 28 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 882, 531, 28 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 882, 531, 28 is 1.
HCF(882, 531, 28) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 882, 531, 28 is 1.
Step 1: Since 882 > 531, we apply the division lemma to 882 and 531, to get
882 = 531 x 1 + 351
Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 351 and 531, to get
531 = 351 x 1 + 180
Step 3: We consider the new divisor 351 and the new remainder 180, and apply the division lemma to get
351 = 180 x 1 + 171
We consider the new divisor 180 and the new remainder 171,and apply the division lemma to get
180 = 171 x 1 + 9
We consider the new divisor 171 and the new remainder 9,and apply the division lemma to get
171 = 9 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 882 and 531 is 9
Notice that 9 = HCF(171,9) = HCF(180,171) = HCF(351,180) = HCF(531,351) = HCF(882,531) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 28 > 9, we apply the division lemma to 28 and 9, to get
28 = 9 x 3 + 1
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 1 and 9, to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 28 is 1
Notice that 1 = HCF(9,1) = HCF(28,9) .
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 882, 531, 28?
Answer: HCF of 882, 531, 28 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 882, 531, 28 using Euclid's Algorithm?
Answer: For arbitrary numbers 882, 531, 28 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.