Highest Common Factor of 820, 8999 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 820, 8999 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 820, 8999 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 820, 8999 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 820, 8999 is 1.
HCF(820, 8999) = 1
HCF of 820, 8999 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 820, 8999 is 1.
Highest Common Factor of 820,8999 is 1
Step 1: Since 8999 > 820, we apply the division lemma to 8999 and 820, to get
8999 = 820 x 10 + 799
Step 2: Since the reminder 820 ≠ 0, we apply division lemma to 799 and 820, to get
820 = 799 x 1 + 21
Step 3: We consider the new divisor 799 and the new remainder 21, and apply the division lemma to get
799 = 21 x 38 + 1
We consider the new divisor 21 and the new remainder 1, and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 820 and 8999 is 1
Notice that 1 = HCF(21,1) = HCF(799,21) = HCF(820,799) = HCF(8999,820) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 820, 8999 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 820, 8999?
Answer: HCF of 820, 8999 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 820, 8999 using Euclid's Algorithm?
Answer: For arbitrary numbers 820, 8999 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.