Highest Common Factor of 1993, 4541 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 1993, 4541 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1993, 4541 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 1993, 4541 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 1993, 4541 is 1.
HCF(1993, 4541) = 1
HCF of 1993, 4541 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1993, 4541 is 1.
Highest Common Factor of 1993,4541 is 1
Step 1: Since 4541 > 1993, we apply the division lemma to 4541 and 1993, to get
4541 = 1993 x 2 + 555
Step 2: Since the reminder 1993 ≠ 0, we apply division lemma to 555 and 1993, to get
1993 = 555 x 3 + 328
Step 3: We consider the new divisor 555 and the new remainder 328, and apply the division lemma to get
555 = 328 x 1 + 227
We consider the new divisor 328 and the new remainder 227,and apply the division lemma to get
328 = 227 x 1 + 101
We consider the new divisor 227 and the new remainder 101,and apply the division lemma to get
227 = 101 x 2 + 25
We consider the new divisor 101 and the new remainder 25,and apply the division lemma to get
101 = 25 x 4 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1993 and 4541 is 1
Notice that 1 = HCF(25,1) = HCF(101,25) = HCF(227,101) = HCF(328,227) = HCF(555,328) = HCF(1993,555) = HCF(4541,1993) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1993, 4541 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 1993, 4541?
Answer: HCF of 1993, 4541 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1993, 4541 using Euclid's Algorithm?
Answer: For arbitrary numbers 1993, 4541 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.