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 9694, 3819 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9694, 3819 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 9694, 3819 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 9694, 3819 is 1.
HCF(9694, 3819) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9694, 3819 is 1.
Step 1: Since 9694 > 3819, we apply the division lemma to 9694 and 3819, to get
9694 = 3819 x 2 + 2056
Step 2: Since the reminder 3819 ≠ 0, we apply division lemma to 2056 and 3819, to get
3819 = 2056 x 1 + 1763
Step 3: We consider the new divisor 2056 and the new remainder 1763, and apply the division lemma to get
2056 = 1763 x 1 + 293
We consider the new divisor 1763 and the new remainder 293,and apply the division lemma to get
1763 = 293 x 6 + 5
We consider the new divisor 293 and the new remainder 5,and apply the division lemma to get
293 = 5 x 58 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 9694 and 3819 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(293,5) = HCF(1763,293) = HCF(2056,1763) = HCF(3819,2056) = HCF(9694,3819) .
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 9694, 3819?
Answer: HCF of 9694, 3819 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9694, 3819 using Euclid's Algorithm?
Answer: For arbitrary numbers 9694, 3819 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.