Highest Common Factor of 230, 371, 329 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 230, 371, 329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 230, 371, 329 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 230, 371, 329 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 230, 371, 329 is 1.
HCF(230, 371, 329) = 1
HCF of 230, 371, 329 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 230, 371, 329 is 1.
Highest Common Factor of 230,371,329 is 1
Step 1: Since 371 > 230, we apply the division lemma to 371 and 230, to get
371 = 230 x 1 + 141
Step 2: Since the reminder 230 ≠ 0, we apply division lemma to 141 and 230, to get
230 = 141 x 1 + 89
Step 3: We consider the new divisor 141 and the new remainder 89, and apply the division lemma to get
141 = 89 x 1 + 52
We consider the new divisor 89 and the new remainder 52,and apply the division lemma to get
89 = 52 x 1 + 37
We consider the new divisor 52 and the new remainder 37,and apply the division lemma to get
52 = 37 x 1 + 15
We consider the new divisor 37 and the new remainder 15,and apply the division lemma to get
37 = 15 x 2 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 230 and 371 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(37,15) = HCF(52,37) = HCF(89,52) = HCF(141,89) = HCF(230,141) = HCF(371,230) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 329 > 1, we apply the division lemma to 329 and 1, to get
329 = 1 x 329 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 329 is 1
Notice that 1 = HCF(329,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 230, 371, 329 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 230, 371, 329?
Answer: HCF of 230, 371, 329 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 230, 371, 329 using Euclid's Algorithm?
Answer: For arbitrary numbers 230, 371, 329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.