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 393, 600, 603 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 393, 600, 603 is 3 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 393, 600, 603 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 393, 600, 603 is 3.
HCF(393, 600, 603) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 393, 600, 603 is 3.
Step 1: Since 600 > 393, we apply the division lemma to 600 and 393, to get
600 = 393 x 1 + 207
Step 2: Since the reminder 393 ≠ 0, we apply division lemma to 207 and 393, to get
393 = 207 x 1 + 186
Step 3: We consider the new divisor 207 and the new remainder 186, and apply the division lemma to get
207 = 186 x 1 + 21
We consider the new divisor 186 and the new remainder 21,and apply the division lemma to get
186 = 21 x 8 + 18
We consider the new divisor 21 and the new remainder 18,and apply the division lemma to get
21 = 18 x 1 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 393 and 600 is 3
Notice that 3 = HCF(18,3) = HCF(21,18) = HCF(186,21) = HCF(207,186) = HCF(393,207) = HCF(600,393) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 603 > 3, we apply the division lemma to 603 and 3, to get
603 = 3 x 201 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 603 is 3
Notice that 3 = HCF(603,3) .
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 393, 600, 603?
Answer: HCF of 393, 600, 603 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 393, 600, 603 using Euclid's Algorithm?
Answer: For arbitrary numbers 393, 600, 603 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.