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 9846, 3406 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9846, 3406 is 2 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 9846, 3406 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 9846, 3406 is 2.
HCF(9846, 3406) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9846, 3406 is 2.
Step 1: Since 9846 > 3406, we apply the division lemma to 9846 and 3406, to get
9846 = 3406 x 2 + 3034
Step 2: Since the reminder 3406 ≠ 0, we apply division lemma to 3034 and 3406, to get
3406 = 3034 x 1 + 372
Step 3: We consider the new divisor 3034 and the new remainder 372, and apply the division lemma to get
3034 = 372 x 8 + 58
We consider the new divisor 372 and the new remainder 58,and apply the division lemma to get
372 = 58 x 6 + 24
We consider the new divisor 58 and the new remainder 24,and apply the division lemma to get
58 = 24 x 2 + 10
We consider the new divisor 24 and the new remainder 10,and apply the division lemma to get
24 = 10 x 2 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9846 and 3406 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(24,10) = HCF(58,24) = HCF(372,58) = HCF(3034,372) = HCF(3406,3034) = HCF(9846,3406) .
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 9846, 3406?
Answer: HCF of 9846, 3406 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9846, 3406 using Euclid's Algorithm?
Answer: For arbitrary numbers 9846, 3406 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.