Highest Common Factor of 486, 71827 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 486, 71827 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 486, 71827 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 486, 71827 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 486, 71827 is 1.
HCF(486, 71827) = 1
HCF of 486, 71827 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 486, 71827 is 1.
Highest Common Factor of 486,71827 is 1
Step 1: Since 71827 > 486, we apply the division lemma to 71827 and 486, to get
71827 = 486 x 147 + 385
Step 2: Since the reminder 486 ≠ 0, we apply division lemma to 385 and 486, to get
486 = 385 x 1 + 101
Step 3: We consider the new divisor 385 and the new remainder 101, and apply the division lemma to get
385 = 101 x 3 + 82
We consider the new divisor 101 and the new remainder 82,and apply the division lemma to get
101 = 82 x 1 + 19
We consider the new divisor 82 and the new remainder 19,and apply the division lemma to get
82 = 19 x 4 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 486 and 71827 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(82,19) = HCF(101,82) = HCF(385,101) = HCF(486,385) = HCF(71827,486) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 486, 71827 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 486, 71827?
Answer: HCF of 486, 71827 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 486, 71827 using Euclid's Algorithm?
Answer: For arbitrary numbers 486, 71827 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.