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 804, 591, 603 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 804, 591, 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 804, 591, 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 804, 591, 603 is 3.
HCF(804, 591, 603) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 804, 591, 603 is 3.
Step 1: Since 804 > 591, we apply the division lemma to 804 and 591, to get
804 = 591 x 1 + 213
Step 2: Since the reminder 591 ≠ 0, we apply division lemma to 213 and 591, to get
591 = 213 x 2 + 165
Step 3: We consider the new divisor 213 and the new remainder 165, and apply the division lemma to get
213 = 165 x 1 + 48
We consider the new divisor 165 and the new remainder 48,and apply the division lemma to get
165 = 48 x 3 + 21
We consider the new divisor 48 and the new remainder 21,and apply the division lemma to get
48 = 21 x 2 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 804 and 591 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(48,21) = HCF(165,48) = HCF(213,165) = HCF(591,213) = HCF(804,591) .
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 804, 591, 603?
Answer: HCF of 804, 591, 603 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 804, 591, 603 using Euclid's Algorithm?
Answer: For arbitrary numbers 804, 591, 603 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.