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 1641, 9645 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1641, 9645 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 1641, 9645 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 1641, 9645 is 3.
HCF(1641, 9645) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1641, 9645 is 3.
Step 1: Since 9645 > 1641, we apply the division lemma to 9645 and 1641, to get
9645 = 1641 x 5 + 1440
Step 2: Since the reminder 1641 ≠ 0, we apply division lemma to 1440 and 1641, to get
1641 = 1440 x 1 + 201
Step 3: We consider the new divisor 1440 and the new remainder 201, and apply the division lemma to get
1440 = 201 x 7 + 33
We consider the new divisor 201 and the new remainder 33,and apply the division lemma to get
201 = 33 x 6 + 3
We consider the new divisor 33 and the new remainder 3,and apply the division lemma to get
33 = 3 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1641 and 9645 is 3
Notice that 3 = HCF(33,3) = HCF(201,33) = HCF(1440,201) = HCF(1641,1440) = HCF(9645,1641) .
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 1641, 9645?
Answer: HCF of 1641, 9645 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1641, 9645 using Euclid's Algorithm?
Answer: For arbitrary numbers 1641, 9645 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.