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 8181, 1845 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 8181, 1845 is 9 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 8181, 1845 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 8181, 1845 is 9.
HCF(8181, 1845) = 9
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8181, 1845 is 9.
Step 1: Since 8181 > 1845, we apply the division lemma to 8181 and 1845, to get
8181 = 1845 x 4 + 801
Step 2: Since the reminder 1845 ≠ 0, we apply division lemma to 801 and 1845, to get
1845 = 801 x 2 + 243
Step 3: We consider the new divisor 801 and the new remainder 243, and apply the division lemma to get
801 = 243 x 3 + 72
We consider the new divisor 243 and the new remainder 72,and apply the division lemma to get
243 = 72 x 3 + 27
We consider the new divisor 72 and the new remainder 27,and apply the division lemma to get
72 = 27 x 2 + 18
We consider the new divisor 27 and the new remainder 18,and apply the division lemma to get
27 = 18 x 1 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 8181 and 1845 is 9
Notice that 9 = HCF(18,9) = HCF(27,18) = HCF(72,27) = HCF(243,72) = HCF(801,243) = HCF(1845,801) = HCF(8181,1845) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 8181, 1845?
Answer: HCF of 8181, 1845 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8181, 1845 using Euclid's Algorithm?
Answer: For arbitrary numbers 8181, 1845 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.