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 205, 92086 i.e. 41 the largest integer that leaves a remainder zero for all numbers.
HCF of 205, 92086 is 41 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 205, 92086 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 205, 92086 is 41.
HCF(205, 92086) = 41
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 205, 92086 is 41.
Step 1: Since 92086 > 205, we apply the division lemma to 92086 and 205, to get
92086 = 205 x 449 + 41
Step 2: Since the reminder 205 ≠ 0, we apply division lemma to 41 and 205, to get
205 = 41 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 41, the HCF of 205 and 92086 is 41
Notice that 41 = HCF(205,41) = HCF(92086,205) .
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 205, 92086?
Answer: HCF of 205, 92086 is 41 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 205, 92086 using Euclid's Algorithm?
Answer: For arbitrary numbers 205, 92086 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.