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 321, 847, 483 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 321, 847, 483 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 321, 847, 483 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 321, 847, 483 is 1.
HCF(321, 847, 483) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 321, 847, 483 is 1.
Step 1: Since 847 > 321, we apply the division lemma to 847 and 321, to get
847 = 321 x 2 + 205
Step 2: Since the reminder 321 ≠ 0, we apply division lemma to 205 and 321, to get
321 = 205 x 1 + 116
Step 3: We consider the new divisor 205 and the new remainder 116, and apply the division lemma to get
205 = 116 x 1 + 89
We consider the new divisor 116 and the new remainder 89,and apply the division lemma to get
116 = 89 x 1 + 27
We consider the new divisor 89 and the new remainder 27,and apply the division lemma to get
89 = 27 x 3 + 8
We consider the new divisor 27 and the new remainder 8,and apply the division lemma to get
27 = 8 x 3 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 321 and 847 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(27,8) = HCF(89,27) = HCF(116,89) = HCF(205,116) = HCF(321,205) = HCF(847,321) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 483 > 1, we apply the division lemma to 483 and 1, to get
483 = 1 x 483 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 483 is 1
Notice that 1 = HCF(483,1) .
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 321, 847, 483?
Answer: HCF of 321, 847, 483 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 321, 847, 483 using Euclid's Algorithm?
Answer: For arbitrary numbers 321, 847, 483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.