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 899, 566, 163 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 899, 566, 163 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 899, 566, 163 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 899, 566, 163 is 1.
HCF(899, 566, 163) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 899, 566, 163 is 1.
Step 1: Since 899 > 566, we apply the division lemma to 899 and 566, to get
899 = 566 x 1 + 333
Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 333 and 566, to get
566 = 333 x 1 + 233
Step 3: We consider the new divisor 333 and the new remainder 233, and apply the division lemma to get
333 = 233 x 1 + 100
We consider the new divisor 233 and the new remainder 100,and apply the division lemma to get
233 = 100 x 2 + 33
We consider the new divisor 100 and the new remainder 33,and apply the division lemma to get
100 = 33 x 3 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 899 and 566 is 1
Notice that 1 = HCF(33,1) = HCF(100,33) = HCF(233,100) = HCF(333,233) = HCF(566,333) = HCF(899,566) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 163 > 1, we apply the division lemma to 163 and 1, to get
163 = 1 x 163 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 163 is 1
Notice that 1 = HCF(163,1) .
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 899, 566, 163?
Answer: HCF of 899, 566, 163 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 899, 566, 163 using Euclid's Algorithm?
Answer: For arbitrary numbers 899, 566, 163 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.