Highest Common Factor of 201, 737, 171 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 201, 737, 171 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 201, 737, 171 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 201, 737, 171 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 201, 737, 171 is 1.
HCF(201, 737, 171) = 1
HCF of 201, 737, 171 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 201, 737, 171 is 1.
Highest Common Factor of 201,737,171 is 1
Step 1: Since 737 > 201, we apply the division lemma to 737 and 201, to get
737 = 201 x 3 + 134
Step 2: Since the reminder 201 ≠ 0, we apply division lemma to 134 and 201, to get
201 = 134 x 1 + 67
Step 3: We consider the new divisor 134 and the new remainder 67, and apply the division lemma to get
134 = 67 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 67, the HCF of 201 and 737 is 67
Notice that 67 = HCF(134,67) = HCF(201,134) = HCF(737,201) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 171 > 67, we apply the division lemma to 171 and 67, to get
171 = 67 x 2 + 37
Step 2: Since the reminder 67 ≠ 0, we apply division lemma to 37 and 67, to get
67 = 37 x 1 + 30
Step 3: We consider the new divisor 37 and the new remainder 30, and apply the division lemma to get
37 = 30 x 1 + 7
We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get
30 = 7 x 4 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 67 and 171 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(37,30) = HCF(67,37) = HCF(171,67) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 201, 737, 171 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 201, 737, 171?
Answer: HCF of 201, 737, 171 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 201, 737, 171 using Euclid's Algorithm?
Answer: For arbitrary numbers 201, 737, 171 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
