Highest Common Factor of 5582, 4103 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 5582, 4103 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5582, 4103 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 5582, 4103 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 5582, 4103 is 1.
HCF(5582, 4103) = 1
HCF of 5582, 4103 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5582, 4103 is 1.
Highest Common Factor of 5582,4103 is 1
Step 1: Since 5582 > 4103, we apply the division lemma to 5582 and 4103, to get
5582 = 4103 x 1 + 1479
Step 2: Since the reminder 4103 ≠ 0, we apply division lemma to 1479 and 4103, to get
4103 = 1479 x 2 + 1145
Step 3: We consider the new divisor 1479 and the new remainder 1145, and apply the division lemma to get
1479 = 1145 x 1 + 334
We consider the new divisor 1145 and the new remainder 334,and apply the division lemma to get
1145 = 334 x 3 + 143
We consider the new divisor 334 and the new remainder 143,and apply the division lemma to get
334 = 143 x 2 + 48
We consider the new divisor 143 and the new remainder 48,and apply the division lemma to get
143 = 48 x 2 + 47
We consider the new divisor 48 and the new remainder 47,and apply the division lemma to get
48 = 47 x 1 + 1
We consider the new divisor 47 and the new remainder 1,and apply the division lemma to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5582 and 4103 is 1
Notice that 1 = HCF(47,1) = HCF(48,47) = HCF(143,48) = HCF(334,143) = HCF(1145,334) = HCF(1479,1145) = HCF(4103,1479) = HCF(5582,4103) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5582, 4103 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 5582, 4103?
Answer: HCF of 5582, 4103 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5582, 4103 using Euclid's Algorithm?
Answer: For arbitrary numbers 5582, 4103 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.