Highest Common Factor of 1901, 3173 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 1901, 3173 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1901, 3173 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 1901, 3173 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 1901, 3173 is 1.
HCF(1901, 3173) = 1
HCF of 1901, 3173 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1901, 3173 is 1.
Highest Common Factor of 1901,3173 is 1
Step 1: Since 3173 > 1901, we apply the division lemma to 3173 and 1901, to get
3173 = 1901 x 1 + 1272
Step 2: Since the reminder 1901 ≠ 0, we apply division lemma to 1272 and 1901, to get
1901 = 1272 x 1 + 629
Step 3: We consider the new divisor 1272 and the new remainder 629, and apply the division lemma to get
1272 = 629 x 2 + 14
We consider the new divisor 629 and the new remainder 14,and apply the division lemma to get
629 = 14 x 44 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1901 and 3173 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(629,14) = HCF(1272,629) = HCF(1901,1272) = HCF(3173,1901) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1901, 3173 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 1901, 3173?
Answer: HCF of 1901, 3173 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1901, 3173 using Euclid's Algorithm?
Answer: For arbitrary numbers 1901, 3173 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.