Highest Common Factor of 3003, 2437 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 3003, 2437 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3003, 2437 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 3003, 2437 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 3003, 2437 is 1.
HCF(3003, 2437) = 1
HCF of 3003, 2437 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3003, 2437 is 1.
Highest Common Factor of 3003,2437 is 1
Step 1: Since 3003 > 2437, we apply the division lemma to 3003 and 2437, to get
3003 = 2437 x 1 + 566
Step 2: Since the reminder 2437 ≠ 0, we apply division lemma to 566 and 2437, to get
2437 = 566 x 4 + 173
Step 3: We consider the new divisor 566 and the new remainder 173, and apply the division lemma to get
566 = 173 x 3 + 47
We consider the new divisor 173 and the new remainder 47,and apply the division lemma to get
173 = 47 x 3 + 32
We consider the new divisor 47 and the new remainder 32,and apply the division lemma to get
47 = 32 x 1 + 15
We consider the new divisor 32 and the new remainder 15,and apply the division lemma to get
32 = 15 x 2 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 3003 and 2437 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(47,32) = HCF(173,47) = HCF(566,173) = HCF(2437,566) = HCF(3003,2437) .
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Frequently Asked Questions on HCF of 3003, 2437 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 3003, 2437?
Answer: HCF of 3003, 2437 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3003, 2437 using Euclid's Algorithm?
Answer: For arbitrary numbers 3003, 2437 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.