Highest Common Factor of 909, 86181 using Euclid's algorithm
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 909, 86181 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 909, 86181 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 909, 86181 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 909, 86181 is 3.
HCF(909, 86181) = 3
HCF of 909, 86181 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 909, 86181 is 3.
Highest Common Factor of 909,86181 is 3
Step 1: Since 86181 > 909, we apply the division lemma to 86181 and 909, to get
86181 = 909 x 94 + 735
Step 2: Since the reminder 909 ≠ 0, we apply division lemma to 735 and 909, to get
909 = 735 x 1 + 174
Step 3: We consider the new divisor 735 and the new remainder 174, and apply the division lemma to get
735 = 174 x 4 + 39
We consider the new divisor 174 and the new remainder 39,and apply the division lemma to get
174 = 39 x 4 + 18
We consider the new divisor 39 and the new remainder 18,and apply the division lemma to get
39 = 18 x 2 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 909 and 86181 is 3
Notice that 3 = HCF(18,3) = HCF(39,18) = HCF(174,39) = HCF(735,174) = HCF(909,735) = HCF(86181,909) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 909, 86181 using Euclid's Algorithm
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 909, 86181?
Answer: HCF of 909, 86181 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 909, 86181 using Euclid's Algorithm?
Answer: For arbitrary numbers 909, 86181 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.