Highest Common Factor of 2503, 3303 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 2503, 3303 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2503, 3303 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 2503, 3303 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 2503, 3303 is 1.
HCF(2503, 3303) = 1
HCF of 2503, 3303 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2503, 3303 is 1.
Highest Common Factor of 2503,3303 is 1
Step 1: Since 3303 > 2503, we apply the division lemma to 3303 and 2503, to get
3303 = 2503 x 1 + 800
Step 2: Since the reminder 2503 ≠ 0, we apply division lemma to 800 and 2503, to get
2503 = 800 x 3 + 103
Step 3: We consider the new divisor 800 and the new remainder 103, and apply the division lemma to get
800 = 103 x 7 + 79
We consider the new divisor 103 and the new remainder 79,and apply the division lemma to get
103 = 79 x 1 + 24
We consider the new divisor 79 and the new remainder 24,and apply the division lemma to get
79 = 24 x 3 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2503 and 3303 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(79,24) = HCF(103,79) = HCF(800,103) = HCF(2503,800) = HCF(3303,2503) .
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Frequently Asked Questions on HCF of 2503, 3303 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 2503, 3303?
Answer: HCF of 2503, 3303 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2503, 3303 using Euclid's Algorithm?
Answer: For arbitrary numbers 2503, 3303 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.