Highest Common Factor of 2603, 4087 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 2603, 4087 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2603, 4087 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 2603, 4087 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 2603, 4087 is 1.
HCF(2603, 4087) = 1
HCF of 2603, 4087 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2603, 4087 is 1.
Highest Common Factor of 2603,4087 is 1
Step 1: Since 4087 > 2603, we apply the division lemma to 4087 and 2603, to get
4087 = 2603 x 1 + 1484
Step 2: Since the reminder 2603 ≠ 0, we apply division lemma to 1484 and 2603, to get
2603 = 1484 x 1 + 1119
Step 3: We consider the new divisor 1484 and the new remainder 1119, and apply the division lemma to get
1484 = 1119 x 1 + 365
We consider the new divisor 1119 and the new remainder 365,and apply the division lemma to get
1119 = 365 x 3 + 24
We consider the new divisor 365 and the new remainder 24,and apply the division lemma to get
365 = 24 x 15 + 5
We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get
24 = 5 x 4 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2603 and 4087 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(365,24) = HCF(1119,365) = HCF(1484,1119) = HCF(2603,1484) = HCF(4087,2603) .
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Frequently Asked Questions on HCF of 2603, 4087 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 2603, 4087?
Answer: HCF of 2603, 4087 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2603, 4087 using Euclid's Algorithm?
Answer: For arbitrary numbers 2603, 4087 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.