Highest Common Factor of 866, 999 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 866, 999 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 866, 999 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 866, 999 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 866, 999 is 1.
HCF(866, 999) = 1
HCF of 866, 999 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 866, 999 is 1.
Highest Common Factor of 866,999 is 1
Step 1: Since 999 > 866, we apply the division lemma to 999 and 866, to get
999 = 866 x 1 + 133
Step 2: Since the reminder 866 ≠ 0, we apply division lemma to 133 and 866, to get
866 = 133 x 6 + 68
Step 3: We consider the new divisor 133 and the new remainder 68, and apply the division lemma to get
133 = 68 x 1 + 65
We consider the new divisor 68 and the new remainder 65,and apply the division lemma to get
68 = 65 x 1 + 3
We consider the new divisor 65 and the new remainder 3,and apply the division lemma to get
65 = 3 x 21 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 866 and 999 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(65,3) = HCF(68,65) = HCF(133,68) = HCF(866,133) = HCF(999,866) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 866, 999 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 866, 999?
Answer: HCF of 866, 999 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 866, 999 using Euclid's Algorithm?
Answer: For arbitrary numbers 866, 999 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
