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, 9005 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 483, 9005 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 483, 9005 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, 9005 is 1.
HCF(483, 9005) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 483, 9005 is 1.
Step 1: Since 9005 > 483, we apply the division lemma to 9005 and 483, to get
9005 = 483 x 18 + 311
Step 2: Since the reminder 483 ≠ 0, we apply division lemma to 311 and 483, to get
483 = 311 x 1 + 172
Step 3: We consider the new divisor 311 and the new remainder 172, and apply the division lemma to get
311 = 172 x 1 + 139
We consider the new divisor 172 and the new remainder 139,and apply the division lemma to get
172 = 139 x 1 + 33
We consider the new divisor 139 and the new remainder 33,and apply the division lemma to get
139 = 33 x 4 + 7
We consider the new divisor 33 and the new remainder 7,and apply the division lemma to get
33 = 7 x 4 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 483 and 9005 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(33,7) = HCF(139,33) = HCF(172,139) = HCF(311,172) = HCF(483,311) = HCF(9005,483) .
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 483, 9005?
Answer: HCF of 483, 9005 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 483, 9005 using Euclid's Algorithm?
Answer: For arbitrary numbers 483, 9005 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.