Highest Common Factor of 4483, 1545 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 4483, 1545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4483, 1545 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 4483, 1545 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 4483, 1545 is 1.
HCF(4483, 1545) = 1
HCF of 4483, 1545 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4483, 1545 is 1.
Highest Common Factor of 4483,1545 is 1
Step 1: Since 4483 > 1545, we apply the division lemma to 4483 and 1545, to get
4483 = 1545 x 2 + 1393
Step 2: Since the reminder 1545 ≠ 0, we apply division lemma to 1393 and 1545, to get
1545 = 1393 x 1 + 152
Step 3: We consider the new divisor 1393 and the new remainder 152, and apply the division lemma to get
1393 = 152 x 9 + 25
We consider the new divisor 152 and the new remainder 25,and apply the division lemma to get
152 = 25 x 6 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4483 and 1545 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(152,25) = HCF(1393,152) = HCF(1545,1393) = HCF(4483,1545) .
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Frequently Asked Questions on HCF of 4483, 1545 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 4483, 1545?
Answer: HCF of 4483, 1545 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4483, 1545 using Euclid's Algorithm?
Answer: For arbitrary numbers 4483, 1545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.