Highest Common Factor of 3024, 7473 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 3024, 7473 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3024, 7473 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 3024, 7473 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 3024, 7473 is 3.
HCF(3024, 7473) = 3
HCF of 3024, 7473 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3024, 7473 is 3.
Highest Common Factor of 3024,7473 is 3
Step 1: Since 7473 > 3024, we apply the division lemma to 7473 and 3024, to get
7473 = 3024 x 2 + 1425
Step 2: Since the reminder 3024 ≠ 0, we apply division lemma to 1425 and 3024, to get
3024 = 1425 x 2 + 174
Step 3: We consider the new divisor 1425 and the new remainder 174, and apply the division lemma to get
1425 = 174 x 8 + 33
We consider the new divisor 174 and the new remainder 33,and apply the division lemma to get
174 = 33 x 5 + 9
We consider the new divisor 33 and the new remainder 9,and apply the division lemma to get
33 = 9 x 3 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3024 and 7473 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(33,9) = HCF(174,33) = HCF(1425,174) = HCF(3024,1425) = HCF(7473,3024) .
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Frequently Asked Questions on HCF of 3024, 7473 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 3024, 7473?
Answer: HCF of 3024, 7473 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3024, 7473 using Euclid's Algorithm?
Answer: For arbitrary numbers 3024, 7473 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.