Highest Common Factor of 4745, 2533 using Euclid's algorithm
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 4745, 2533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4745, 2533 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 4745, 2533 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 4745, 2533 is 1.
HCF(4745, 2533) = 1
HCF of 4745, 2533 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4745, 2533 is 1.
Highest Common Factor of 4745,2533 is 1
Step 1: Since 4745 > 2533, we apply the division lemma to 4745 and 2533, to get
4745 = 2533 x 1 + 2212
Step 2: Since the reminder 2533 ≠ 0, we apply division lemma to 2212 and 2533, to get
2533 = 2212 x 1 + 321
Step 3: We consider the new divisor 2212 and the new remainder 321, and apply the division lemma to get
2212 = 321 x 6 + 286
We consider the new divisor 321 and the new remainder 286,and apply the division lemma to get
321 = 286 x 1 + 35
We consider the new divisor 286 and the new remainder 35,and apply the division lemma to get
286 = 35 x 8 + 6
We consider the new divisor 35 and the new remainder 6,and apply the division lemma to get
35 = 6 x 5 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4745 and 2533 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(35,6) = HCF(286,35) = HCF(321,286) = HCF(2212,321) = HCF(2533,2212) = HCF(4745,2533) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4745, 2533 using Euclid's Algorithm
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 4745, 2533?
Answer: HCF of 4745, 2533 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4745, 2533 using Euclid's Algorithm?
Answer: For arbitrary numbers 4745, 2533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
