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 2421, 9141 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2421, 9141 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 2421, 9141 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 2421, 9141 is 3.
HCF(2421, 9141) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2421, 9141 is 3.
Step 1: Since 9141 > 2421, we apply the division lemma to 9141 and 2421, to get
9141 = 2421 x 3 + 1878
Step 2: Since the reminder 2421 ≠ 0, we apply division lemma to 1878 and 2421, to get
2421 = 1878 x 1 + 543
Step 3: We consider the new divisor 1878 and the new remainder 543, and apply the division lemma to get
1878 = 543 x 3 + 249
We consider the new divisor 543 and the new remainder 249,and apply the division lemma to get
543 = 249 x 2 + 45
We consider the new divisor 249 and the new remainder 45,and apply the division lemma to get
249 = 45 x 5 + 24
We consider the new divisor 45 and the new remainder 24,and apply the division lemma to get
45 = 24 x 1 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2421 and 9141 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(45,24) = HCF(249,45) = HCF(543,249) = HCF(1878,543) = HCF(2421,1878) = HCF(9141,2421) .
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 2421, 9141?
Answer: HCF of 2421, 9141 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2421, 9141 using Euclid's Algorithm?
Answer: For arbitrary numbers 2421, 9141 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.