Highest Common Factor of 2301, 8718 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 2301, 8718 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2301, 8718 is 3 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 2301, 8718 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 2301, 8718 is 3.
HCF(2301, 8718) = 3
HCF of 2301, 8718 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2301, 8718 is 3.
Highest Common Factor of 2301,8718 is 3
Step 1: Since 8718 > 2301, we apply the division lemma to 8718 and 2301, to get
8718 = 2301 x 3 + 1815
Step 2: Since the reminder 2301 ≠ 0, we apply division lemma to 1815 and 2301, to get
2301 = 1815 x 1 + 486
Step 3: We consider the new divisor 1815 and the new remainder 486, and apply the division lemma to get
1815 = 486 x 3 + 357
We consider the new divisor 486 and the new remainder 357,and apply the division lemma to get
486 = 357 x 1 + 129
We consider the new divisor 357 and the new remainder 129,and apply the division lemma to get
357 = 129 x 2 + 99
We consider the new divisor 129 and the new remainder 99,and apply the division lemma to get
129 = 99 x 1 + 30
We consider the new divisor 99 and the new remainder 30,and apply the division lemma to get
99 = 30 x 3 + 9
We consider the new divisor 30 and the new remainder 9,and apply the division lemma to get
30 = 9 x 3 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2301 and 8718 is 3
Notice that 3 = HCF(9,3) = HCF(30,9) = HCF(99,30) = HCF(129,99) = HCF(357,129) = HCF(486,357) = HCF(1815,486) = HCF(2301,1815) = HCF(8718,2301) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2301, 8718 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 2301, 8718?
Answer: HCF of 2301, 8718 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2301, 8718 using Euclid's Algorithm?
Answer: For arbitrary numbers 2301, 8718 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.