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 4738, 2471 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4738, 2471 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 4738, 2471 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 4738, 2471 is 1.
HCF(4738, 2471) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4738, 2471 is 1.
Step 1: Since 4738 > 2471, we apply the division lemma to 4738 and 2471, to get
4738 = 2471 x 1 + 2267
Step 2: Since the reminder 2471 ≠ 0, we apply division lemma to 2267 and 2471, to get
2471 = 2267 x 1 + 204
Step 3: We consider the new divisor 2267 and the new remainder 204, and apply the division lemma to get
2267 = 204 x 11 + 23
We consider the new divisor 204 and the new remainder 23,and apply the division lemma to get
204 = 23 x 8 + 20
We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get
23 = 20 x 1 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 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 4738 and 2471 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(204,23) = HCF(2267,204) = HCF(2471,2267) = HCF(4738,2471) .
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 4738, 2471?
Answer: HCF of 4738, 2471 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4738, 2471 using Euclid's Algorithm?
Answer: For arbitrary numbers 4738, 2471 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.