Highest Common Factor of 999, 81477 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 999, 81477 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 999, 81477 is 9 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 999, 81477 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 999, 81477 is 9.
HCF(999, 81477) = 9
HCF of 999, 81477 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 999, 81477 is 9.
Highest Common Factor of 999,81477 is 9
Step 1: Since 81477 > 999, we apply the division lemma to 81477 and 999, to get
81477 = 999 x 81 + 558
Step 2: Since the reminder 999 ≠ 0, we apply division lemma to 558 and 999, to get
999 = 558 x 1 + 441
Step 3: We consider the new divisor 558 and the new remainder 441, and apply the division lemma to get
558 = 441 x 1 + 117
We consider the new divisor 441 and the new remainder 117,and apply the division lemma to get
441 = 117 x 3 + 90
We consider the new divisor 117 and the new remainder 90,and apply the division lemma to get
117 = 90 x 1 + 27
We consider the new divisor 90 and the new remainder 27,and apply the division lemma to get
90 = 27 x 3 + 9
We consider the new divisor 27 and the new remainder 9,and apply the division lemma to get
27 = 9 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 999 and 81477 is 9
Notice that 9 = HCF(27,9) = HCF(90,27) = HCF(117,90) = HCF(441,117) = HCF(558,441) = HCF(999,558) = HCF(81477,999) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 999, 81477 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 999, 81477?
Answer: HCF of 999, 81477 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 999, 81477 using Euclid's Algorithm?
Answer: For arbitrary numbers 999, 81477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.