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 9882, 2891 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9882, 2891 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 9882, 2891 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 9882, 2891 is 1.
HCF(9882, 2891) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9882, 2891 is 1.
Step 1: Since 9882 > 2891, we apply the division lemma to 9882 and 2891, to get
9882 = 2891 x 3 + 1209
Step 2: Since the reminder 2891 ≠ 0, we apply division lemma to 1209 and 2891, to get
2891 = 1209 x 2 + 473
Step 3: We consider the new divisor 1209 and the new remainder 473, and apply the division lemma to get
1209 = 473 x 2 + 263
We consider the new divisor 473 and the new remainder 263,and apply the division lemma to get
473 = 263 x 1 + 210
We consider the new divisor 263 and the new remainder 210,and apply the division lemma to get
263 = 210 x 1 + 53
We consider the new divisor 210 and the new remainder 53,and apply the division lemma to get
210 = 53 x 3 + 51
We consider the new divisor 53 and the new remainder 51,and apply the division lemma to get
53 = 51 x 1 + 2
We consider the new divisor 51 and the new remainder 2,and apply the division lemma to get
51 = 2 x 25 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9882 and 2891 is 1
Notice that 1 = HCF(2,1) = HCF(51,2) = HCF(53,51) = HCF(210,53) = HCF(263,210) = HCF(473,263) = HCF(1209,473) = HCF(2891,1209) = HCF(9882,2891) .
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 9882, 2891?
Answer: HCF of 9882, 2891 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9882, 2891 using Euclid's Algorithm?
Answer: For arbitrary numbers 9882, 2891 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.