Highest Common Factor of 1473, 3462 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 1473, 3462 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1473, 3462 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, 3462 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, 3462 is 3.
HCF(1473, 3462) = 3
HCF of 1473, 3462 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1473, 3462 is 3.
Highest Common Factor of 1473,3462 is 3
Step 1: Since 3462 > 1473, we apply the division lemma to 3462 and 1473, to get
3462 = 1473 x 2 + 516
Step 2: Since the reminder 1473 ≠ 0, we apply division lemma to 516 and 1473, to get
1473 = 516 x 2 + 441
Step 3: We consider the new divisor 516 and the new remainder 441, and apply the division lemma to get
516 = 441 x 1 + 75
We consider the new divisor 441 and the new remainder 75,and apply the division lemma to get
441 = 75 x 5 + 66
We consider the new divisor 75 and the new remainder 66,and apply the division lemma to get
75 = 66 x 1 + 9
We consider the new divisor 66 and the new remainder 9,and apply the division lemma to get
66 = 9 x 7 + 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 3462 is 3
Notice that 3 = HCF(9,3) = HCF(66,9) = HCF(75,66) = HCF(441,75) = HCF(516,441) = HCF(1473,516) = HCF(3462,1473) .
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Frequently Asked Questions on HCF of 1473, 3462 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 1473, 3462?
Answer: HCF of 1473, 3462 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1473, 3462 using Euclid's Algorithm?
Answer: For arbitrary numbers 1473, 3462 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.