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 2462, 9001 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2462, 9001 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 2462, 9001 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 2462, 9001 is 1.
HCF(2462, 9001) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2462, 9001 is 1.
Step 1: Since 9001 > 2462, we apply the division lemma to 9001 and 2462, to get
9001 = 2462 x 3 + 1615
Step 2: Since the reminder 2462 ≠ 0, we apply division lemma to 1615 and 2462, to get
2462 = 1615 x 1 + 847
Step 3: We consider the new divisor 1615 and the new remainder 847, and apply the division lemma to get
1615 = 847 x 1 + 768
We consider the new divisor 847 and the new remainder 768,and apply the division lemma to get
847 = 768 x 1 + 79
We consider the new divisor 768 and the new remainder 79,and apply the division lemma to get
768 = 79 x 9 + 57
We consider the new divisor 79 and the new remainder 57,and apply the division lemma to get
79 = 57 x 1 + 22
We consider the new divisor 57 and the new remainder 22,and apply the division lemma to get
57 = 22 x 2 + 13
We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get
22 = 13 x 1 + 9
We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get
13 = 9 x 1 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2462 and 9001 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(57,22) = HCF(79,57) = HCF(768,79) = HCF(847,768) = HCF(1615,847) = HCF(2462,1615) = HCF(9001,2462) .
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 2462, 9001?
Answer: HCF of 2462, 9001 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2462, 9001 using Euclid's Algorithm?
Answer: For arbitrary numbers 2462, 9001 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.