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 2432, 9031 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2432, 9031 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 2432, 9031 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 2432, 9031 is 1.
HCF(2432, 9031) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2432, 9031 is 1.
Step 1: Since 9031 > 2432, we apply the division lemma to 9031 and 2432, to get
9031 = 2432 x 3 + 1735
Step 2: Since the reminder 2432 ≠ 0, we apply division lemma to 1735 and 2432, to get
2432 = 1735 x 1 + 697
Step 3: We consider the new divisor 1735 and the new remainder 697, and apply the division lemma to get
1735 = 697 x 2 + 341
We consider the new divisor 697 and the new remainder 341,and apply the division lemma to get
697 = 341 x 2 + 15
We consider the new divisor 341 and the new remainder 15,and apply the division lemma to get
341 = 15 x 22 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 2432 and 9031 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(341,15) = HCF(697,341) = HCF(1735,697) = HCF(2432,1735) = HCF(9031,2432) .
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 2432, 9031?
Answer: HCF of 2432, 9031 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2432, 9031 using Euclid's Algorithm?
Answer: For arbitrary numbers 2432, 9031 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.