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, 585 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 232, 585 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, 585 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, 585 is 1.
HCF(232, 585) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 232, 585 is 1.
Step 1: Since 585 > 232, we apply the division lemma to 585 and 232, to get
585 = 232 x 2 + 121
Step 2: Since the reminder 232 ≠ 0, we apply division lemma to 121 and 232, to get
232 = 121 x 1 + 111
Step 3: We consider the new divisor 121 and the new remainder 111, and apply the division lemma to get
121 = 111 x 1 + 10
We consider the new divisor 111 and the new remainder 10,and apply the division lemma to get
111 = 10 x 11 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 232 and 585 is 1
Notice that 1 = HCF(10,1) = HCF(111,10) = HCF(121,111) = HCF(232,121) = HCF(585,232) .
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, 585?
Answer: HCF of 232, 585 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 232, 585 using Euclid's Algorithm?
Answer: For arbitrary numbers 232, 585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.