Highest Common Factor of 800, 1809 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 800, 1809 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 800, 1809 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 800, 1809 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 800, 1809 is 1.
HCF(800, 1809) = 1
HCF of 800, 1809 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 800, 1809 is 1.
Highest Common Factor of 800,1809 is 1
Step 1: Since 1809 > 800, we apply the division lemma to 1809 and 800, to get
1809 = 800 x 2 + 209
Step 2: Since the reminder 800 ≠ 0, we apply division lemma to 209 and 800, to get
800 = 209 x 3 + 173
Step 3: We consider the new divisor 209 and the new remainder 173, and apply the division lemma to get
209 = 173 x 1 + 36
We consider the new divisor 173 and the new remainder 36,and apply the division lemma to get
173 = 36 x 4 + 29
We consider the new divisor 36 and the new remainder 29,and apply the division lemma to get
36 = 29 x 1 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 800 and 1809 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(36,29) = HCF(173,36) = HCF(209,173) = HCF(800,209) = HCF(1809,800) .
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Frequently Asked Questions on HCF of 800, 1809 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 800, 1809?
Answer: HCF of 800, 1809 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 800, 1809 using Euclid's Algorithm?
Answer: For arbitrary numbers 800, 1809 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.