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 2438, 5327 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2438, 5327 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 2438, 5327 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 2438, 5327 is 1.
HCF(2438, 5327) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2438, 5327 is 1.
Step 1: Since 5327 > 2438, we apply the division lemma to 5327 and 2438, to get
5327 = 2438 x 2 + 451
Step 2: Since the reminder 2438 ≠ 0, we apply division lemma to 451 and 2438, to get
2438 = 451 x 5 + 183
Step 3: We consider the new divisor 451 and the new remainder 183, and apply the division lemma to get
451 = 183 x 2 + 85
We consider the new divisor 183 and the new remainder 85,and apply the division lemma to get
183 = 85 x 2 + 13
We consider the new divisor 85 and the new remainder 13,and apply the division lemma to get
85 = 13 x 6 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2438 and 5327 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(85,13) = HCF(183,85) = HCF(451,183) = HCF(2438,451) = HCF(5327,2438) .
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 2438, 5327?
Answer: HCF of 2438, 5327 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2438, 5327 using Euclid's Algorithm?
Answer: For arbitrary numbers 2438, 5327 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.