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 9421, 3853, 49310 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9421, 3853, 49310 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 9421, 3853, 49310 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 9421, 3853, 49310 is 1.
HCF(9421, 3853, 49310) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9421, 3853, 49310 is 1.
Step 1: Since 9421 > 3853, we apply the division lemma to 9421 and 3853, to get
9421 = 3853 x 2 + 1715
Step 2: Since the reminder 3853 ≠ 0, we apply division lemma to 1715 and 3853, to get
3853 = 1715 x 2 + 423
Step 3: We consider the new divisor 1715 and the new remainder 423, and apply the division lemma to get
1715 = 423 x 4 + 23
We consider the new divisor 423 and the new remainder 23,and apply the division lemma to get
423 = 23 x 18 + 9
We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get
23 = 9 x 2 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9421 and 3853 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(423,23) = HCF(1715,423) = HCF(3853,1715) = HCF(9421,3853) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 49310 > 1, we apply the division lemma to 49310 and 1, to get
49310 = 1 x 49310 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 49310 is 1
Notice that 1 = HCF(49310,1) .
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 9421, 3853, 49310?
Answer: HCF of 9421, 3853, 49310 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9421, 3853, 49310 using Euclid's Algorithm?
Answer: For arbitrary numbers 9421, 3853, 49310 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.