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, 7287 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2462, 7287 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, 7287 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, 7287 is 1.
HCF(2462, 7287) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2462, 7287 is 1.
Step 1: Since 7287 > 2462, we apply the division lemma to 7287 and 2462, to get
7287 = 2462 x 2 + 2363
Step 2: Since the reminder 2462 ≠ 0, we apply division lemma to 2363 and 2462, to get
2462 = 2363 x 1 + 99
Step 3: We consider the new divisor 2363 and the new remainder 99, and apply the division lemma to get
2363 = 99 x 23 + 86
We consider the new divisor 99 and the new remainder 86,and apply the division lemma to get
99 = 86 x 1 + 13
We consider the new divisor 86 and the new remainder 13,and apply the division lemma to get
86 = 13 x 6 + 8
We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get
13 = 8 x 1 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2462 and 7287 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(86,13) = HCF(99,86) = HCF(2363,99) = HCF(2462,2363) = HCF(7287,2462) .
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, 7287?
Answer: HCF of 2462, 7287 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2462, 7287 using Euclid's Algorithm?
Answer: For arbitrary numbers 2462, 7287 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.