Highest Common Factor of 2473, 1472 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 2473, 1472 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2473, 1472 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 2473, 1472 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 2473, 1472 is 1.
HCF(2473, 1472) = 1
HCF of 2473, 1472 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2473, 1472 is 1.
Highest Common Factor of 2473,1472 is 1
Step 1: Since 2473 > 1472, we apply the division lemma to 2473 and 1472, to get
2473 = 1472 x 1 + 1001
Step 2: Since the reminder 1472 ≠ 0, we apply division lemma to 1001 and 1472, to get
1472 = 1001 x 1 + 471
Step 3: We consider the new divisor 1001 and the new remainder 471, and apply the division lemma to get
1001 = 471 x 2 + 59
We consider the new divisor 471 and the new remainder 59,and apply the division lemma to get
471 = 59 x 7 + 58
We consider the new divisor 59 and the new remainder 58,and apply the division lemma to get
59 = 58 x 1 + 1
We consider the new divisor 58 and the new remainder 1,and apply the division lemma to get
58 = 1 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2473 and 1472 is 1
Notice that 1 = HCF(58,1) = HCF(59,58) = HCF(471,59) = HCF(1001,471) = HCF(1472,1001) = HCF(2473,1472) .
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Frequently Asked Questions on HCF of 2473, 1472 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 2473, 1472?
Answer: HCF of 2473, 1472 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2473, 1472 using Euclid's Algorithm?
Answer: For arbitrary numbers 2473, 1472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.