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 9801, 435 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9801, 435 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 9801, 435 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 9801, 435 is 3.
HCF(9801, 435) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9801, 435 is 3.
Step 1: Since 9801 > 435, we apply the division lemma to 9801 and 435, to get
9801 = 435 x 22 + 231
Step 2: Since the reminder 435 ≠ 0, we apply division lemma to 231 and 435, to get
435 = 231 x 1 + 204
Step 3: We consider the new divisor 231 and the new remainder 204, and apply the division lemma to get
231 = 204 x 1 + 27
We consider the new divisor 204 and the new remainder 27,and apply the division lemma to get
204 = 27 x 7 + 15
We consider the new divisor 27 and the new remainder 15,and apply the division lemma to get
27 = 15 x 1 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9801 and 435 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(27,15) = HCF(204,27) = HCF(231,204) = HCF(435,231) = HCF(9801,435) .
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 9801, 435?
Answer: HCF of 9801, 435 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9801, 435 using Euclid's Algorithm?
Answer: For arbitrary numbers 9801, 435 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.