Highest Common Factor of 8273, 1613 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 8273, 1613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8273, 1613 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 8273, 1613 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 8273, 1613 is 1.
HCF(8273, 1613) = 1
HCF of 8273, 1613 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8273, 1613 is 1.
Highest Common Factor of 8273,1613 is 1
Step 1: Since 8273 > 1613, we apply the division lemma to 8273 and 1613, to get
8273 = 1613 x 5 + 208
Step 2: Since the reminder 1613 ≠ 0, we apply division lemma to 208 and 1613, to get
1613 = 208 x 7 + 157
Step 3: We consider the new divisor 208 and the new remainder 157, and apply the division lemma to get
208 = 157 x 1 + 51
We consider the new divisor 157 and the new remainder 51,and apply the division lemma to get
157 = 51 x 3 + 4
We consider the new divisor 51 and the new remainder 4,and apply the division lemma to get
51 = 4 x 12 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 8273 and 1613 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(51,4) = HCF(157,51) = HCF(208,157) = HCF(1613,208) = HCF(8273,1613) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8273, 1613 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 8273, 1613?
Answer: HCF of 8273, 1613 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8273, 1613 using Euclid's Algorithm?
Answer: For arbitrary numbers 8273, 1613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.