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 206, 90166 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 206, 90166 is 2 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 206, 90166 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 206, 90166 is 2.
HCF(206, 90166) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 206, 90166 is 2.
Step 1: Since 90166 > 206, we apply the division lemma to 90166 and 206, to get
90166 = 206 x 437 + 144
Step 2: Since the reminder 206 ≠ 0, we apply division lemma to 144 and 206, to get
206 = 144 x 1 + 62
Step 3: We consider the new divisor 144 and the new remainder 62, and apply the division lemma to get
144 = 62 x 2 + 20
We consider the new divisor 62 and the new remainder 20,and apply the division lemma to get
62 = 20 x 3 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 206 and 90166 is 2
Notice that 2 = HCF(20,2) = HCF(62,20) = HCF(144,62) = HCF(206,144) = HCF(90166,206) .
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 206, 90166?
Answer: HCF of 206, 90166 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 206, 90166 using Euclid's Algorithm?
Answer: For arbitrary numbers 206, 90166 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.