Highest Common Factor of 999, 5411 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, 5411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 999, 5411 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 999, 5411 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, 5411 is 1.
HCF(999, 5411) = 1
HCF of 999, 5411 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, 5411 is 1.
Highest Common Factor of 999,5411 is 1
Step 1: Since 5411 > 999, we apply the division lemma to 5411 and 999, to get
5411 = 999 x 5 + 416
Step 2: Since the reminder 999 ≠ 0, we apply division lemma to 416 and 999, to get
999 = 416 x 2 + 167
Step 3: We consider the new divisor 416 and the new remainder 167, and apply the division lemma to get
416 = 167 x 2 + 82
We consider the new divisor 167 and the new remainder 82,and apply the division lemma to get
167 = 82 x 2 + 3
We consider the new divisor 82 and the new remainder 3,and apply the division lemma to get
82 = 3 x 27 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 999 and 5411 is 1
Notice that 1 = HCF(3,1) = HCF(82,3) = HCF(167,82) = HCF(416,167) = HCF(999,416) = HCF(5411,999) .
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, 5411 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, 5411?
Answer: HCF of 999, 5411 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 999, 5411 using Euclid's Algorithm?
Answer: For arbitrary numbers 999, 5411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.