Highest Common Factor of 8001, 2361 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 8001, 2361 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8001, 2361 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 8001, 2361 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 8001, 2361 is 3.
HCF(8001, 2361) = 3
HCF of 8001, 2361 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8001, 2361 is 3.
Highest Common Factor of 8001,2361 is 3
Step 1: Since 8001 > 2361, we apply the division lemma to 8001 and 2361, to get
8001 = 2361 x 3 + 918
Step 2: Since the reminder 2361 ≠ 0, we apply division lemma to 918 and 2361, to get
2361 = 918 x 2 + 525
Step 3: We consider the new divisor 918 and the new remainder 525, and apply the division lemma to get
918 = 525 x 1 + 393
We consider the new divisor 525 and the new remainder 393,and apply the division lemma to get
525 = 393 x 1 + 132
We consider the new divisor 393 and the new remainder 132,and apply the division lemma to get
393 = 132 x 2 + 129
We consider the new divisor 132 and the new remainder 129,and apply the division lemma to get
132 = 129 x 1 + 3
We consider the new divisor 129 and the new remainder 3,and apply the division lemma to get
129 = 3 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8001 and 2361 is 3
Notice that 3 = HCF(129,3) = HCF(132,129) = HCF(393,132) = HCF(525,393) = HCF(918,525) = HCF(2361,918) = HCF(8001,2361) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8001, 2361 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 8001, 2361?
Answer: HCF of 8001, 2361 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8001, 2361 using Euclid's Algorithm?
Answer: For arbitrary numbers 8001, 2361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.