Highest Common Factor of 2037, 5405 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 2037, 5405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2037, 5405 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 2037, 5405 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 2037, 5405 is 1.
HCF(2037, 5405) = 1
HCF of 2037, 5405 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2037, 5405 is 1.
Highest Common Factor of 2037,5405 is 1
Step 1: Since 5405 > 2037, we apply the division lemma to 5405 and 2037, to get
5405 = 2037 x 2 + 1331
Step 2: Since the reminder 2037 ≠ 0, we apply division lemma to 1331 and 2037, to get
2037 = 1331 x 1 + 706
Step 3: We consider the new divisor 1331 and the new remainder 706, and apply the division lemma to get
1331 = 706 x 1 + 625
We consider the new divisor 706 and the new remainder 625,and apply the division lemma to get
706 = 625 x 1 + 81
We consider the new divisor 625 and the new remainder 81,and apply the division lemma to get
625 = 81 x 7 + 58
We consider the new divisor 81 and the new remainder 58,and apply the division lemma to get
81 = 58 x 1 + 23
We consider the new divisor 58 and the new remainder 23,and apply the division lemma to get
58 = 23 x 2 + 12
We consider the new divisor 23 and the new remainder 12,and apply the division lemma to get
23 = 12 x 1 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2037 and 5405 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(58,23) = HCF(81,58) = HCF(625,81) = HCF(706,625) = HCF(1331,706) = HCF(2037,1331) = HCF(5405,2037) .
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Frequently Asked Questions on HCF of 2037, 5405 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 2037, 5405?
Answer: HCF of 2037, 5405 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2037, 5405 using Euclid's Algorithm?
Answer: For arbitrary numbers 2037, 5405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.