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 1473, 1812 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1473, 1812 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 1473, 1812 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 1473, 1812 is 3.
HCF(1473, 1812) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1473, 1812 is 3.
Step 1: Since 1812 > 1473, we apply the division lemma to 1812 and 1473, to get
1812 = 1473 x 1 + 339
Step 2: Since the reminder 1473 ≠ 0, we apply division lemma to 339 and 1473, to get
1473 = 339 x 4 + 117
Step 3: We consider the new divisor 339 and the new remainder 117, and apply the division lemma to get
339 = 117 x 2 + 105
We consider the new divisor 117 and the new remainder 105,and apply the division lemma to get
117 = 105 x 1 + 12
We consider the new divisor 105 and the new remainder 12,and apply the division lemma to get
105 = 12 x 8 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1473 and 1812 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(105,12) = HCF(117,105) = HCF(339,117) = HCF(1473,339) = HCF(1812,1473) .
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 1473, 1812?
Answer: HCF of 1473, 1812 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1473, 1812 using Euclid's Algorithm?
Answer: For arbitrary numbers 1473, 1812 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.