Highest Common Factor of 1905, 6301 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 1905, 6301 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1905, 6301 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 1905, 6301 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 1905, 6301 is 1.
HCF(1905, 6301) = 1
HCF of 1905, 6301 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1905, 6301 is 1.
Highest Common Factor of 1905,6301 is 1
Step 1: Since 6301 > 1905, we apply the division lemma to 6301 and 1905, to get
6301 = 1905 x 3 + 586
Step 2: Since the reminder 1905 ≠ 0, we apply division lemma to 586 and 1905, to get
1905 = 586 x 3 + 147
Step 3: We consider the new divisor 586 and the new remainder 147, and apply the division lemma to get
586 = 147 x 3 + 145
We consider the new divisor 147 and the new remainder 145,and apply the division lemma to get
147 = 145 x 1 + 2
We consider the new divisor 145 and the new remainder 2,and apply the division lemma to get
145 = 2 x 72 + 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 1905 and 6301 is 1
Notice that 1 = HCF(2,1) = HCF(145,2) = HCF(147,145) = HCF(586,147) = HCF(1905,586) = HCF(6301,1905) .
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Frequently Asked Questions on HCF of 1905, 6301 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 1905, 6301?
Answer: HCF of 1905, 6301 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1905, 6301 using Euclid's Algorithm?
Answer: For arbitrary numbers 1905, 6301 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.