Highest Common Factor of 817, 5183 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 817, 5183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 817, 5183 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 817, 5183 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 817, 5183 is 1.
HCF(817, 5183) = 1
HCF of 817, 5183 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 817, 5183 is 1.
Highest Common Factor of 817,5183 is 1
Step 1: Since 5183 > 817, we apply the division lemma to 5183 and 817, to get
5183 = 817 x 6 + 281
Step 2: Since the reminder 817 ≠ 0, we apply division lemma to 281 and 817, to get
817 = 281 x 2 + 255
Step 3: We consider the new divisor 281 and the new remainder 255, and apply the division lemma to get
281 = 255 x 1 + 26
We consider the new divisor 255 and the new remainder 26,and apply the division lemma to get
255 = 26 x 9 + 21
We consider the new divisor 26 and the new remainder 21,and apply the division lemma to get
26 = 21 x 1 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 817 and 5183 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(255,26) = HCF(281,255) = HCF(817,281) = HCF(5183,817) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 817, 5183 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 817, 5183?
Answer: HCF of 817, 5183 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 817, 5183 using Euclid's Algorithm?
Answer: For arbitrary numbers 817, 5183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.