Highest Common Factor of 483, 609, 291 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 483, 609, 291 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 483, 609, 291 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 483, 609, 291 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 483, 609, 291 is 3.
HCF(483, 609, 291) = 3
HCF of 483, 609, 291 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 483, 609, 291 is 3.
Highest Common Factor of 483,609,291 is 3
Step 1: Since 609 > 483, we apply the division lemma to 609 and 483, to get
609 = 483 x 1 + 126
Step 2: Since the reminder 483 ≠ 0, we apply division lemma to 126 and 483, to get
483 = 126 x 3 + 105
Step 3: We consider the new divisor 126 and the new remainder 105, and apply the division lemma to get
126 = 105 x 1 + 21
We consider the new divisor 105 and the new remainder 21, and apply the division lemma to get
105 = 21 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 483 and 609 is 21
Notice that 21 = HCF(105,21) = HCF(126,105) = HCF(483,126) = HCF(609,483) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 291 > 21, we apply the division lemma to 291 and 21, to get
291 = 21 x 13 + 18
Step 2: Since the reminder 21 ≠ 0, we apply division lemma to 18 and 21, to get
21 = 18 x 1 + 3
Step 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 21 and 291 is 3
Notice that 3 = HCF(18,3) = HCF(21,18) = HCF(291,21) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 483, 609, 291 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 483, 609, 291?
Answer: HCF of 483, 609, 291 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 483, 609, 291 using Euclid's Algorithm?
Answer: For arbitrary numbers 483, 609, 291 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.