Highest Common Factor of 483, 2745 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 483, 2745 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 483, 2745 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 483, 2745 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 483, 2745 is 3.
HCF(483, 2745) = 3
HCF of 483, 2745 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 483, 2745 is 3.
Highest Common Factor of 483,2745 is 3
Step 1: Since 2745 > 483, we apply the division lemma to 2745 and 483, to get
2745 = 483 x 5 + 330
Step 2: Since the reminder 483 ≠ 0, we apply division lemma to 330 and 483, to get
483 = 330 x 1 + 153
Step 3: We consider the new divisor 330 and the new remainder 153, and apply the division lemma to get
330 = 153 x 2 + 24
We consider the new divisor 153 and the new remainder 24,and apply the division lemma to get
153 = 24 x 6 + 9
We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get
24 = 9 x 2 + 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 483 and 2745 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(153,24) = HCF(330,153) = HCF(483,330) = HCF(2745,483) .
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Frequently Asked Questions on HCF of 483, 2745 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 483, 2745?
Answer: HCF of 483, 2745 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 483, 2745 using Euclid's Algorithm?
Answer: For arbitrary numbers 483, 2745 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.