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 232, 595, 235 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 232, 595, 235 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 232, 595, 235 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 232, 595, 235 is 1.
HCF(232, 595, 235) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 232, 595, 235 is 1.
Step 1: Since 595 > 232, we apply the division lemma to 595 and 232, to get
595 = 232 x 2 + 131
Step 2: Since the reminder 232 ≠ 0, we apply division lemma to 131 and 232, to get
232 = 131 x 1 + 101
Step 3: We consider the new divisor 131 and the new remainder 101, and apply the division lemma to get
131 = 101 x 1 + 30
We consider the new divisor 101 and the new remainder 30,and apply the division lemma to get
101 = 30 x 3 + 11
We consider the new divisor 30 and the new remainder 11,and apply the division lemma to get
30 = 11 x 2 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 232 and 595 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(30,11) = HCF(101,30) = HCF(131,101) = HCF(232,131) = HCF(595,232) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 235 > 1, we apply the division lemma to 235 and 1, to get
235 = 1 x 235 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 235 is 1
Notice that 1 = HCF(235,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 232, 595, 235?
Answer: HCF of 232, 595, 235 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 232, 595, 235 using Euclid's Algorithm?
Answer: For arbitrary numbers 232, 595, 235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.