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, 4835 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9846, 4835 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 9846, 4835 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, 4835 is 1.
HCF(9846, 4835) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9846, 4835 is 1.
Step 1: Since 9846 > 4835, we apply the division lemma to 9846 and 4835, to get
9846 = 4835 x 2 + 176
Step 2: Since the reminder 4835 ≠ 0, we apply division lemma to 176 and 4835, to get
4835 = 176 x 27 + 83
Step 3: We consider the new divisor 176 and the new remainder 83, and apply the division lemma to get
176 = 83 x 2 + 10
We consider the new divisor 83 and the new remainder 10,and apply the division lemma to get
83 = 10 x 8 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9846 and 4835 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(83,10) = HCF(176,83) = HCF(4835,176) = HCF(9846,4835) .
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, 4835?
Answer: HCF of 9846, 4835 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9846, 4835 using Euclid's Algorithm?
Answer: For arbitrary numbers 9846, 4835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.