Highest Common Factor of 5815, 1484 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 5815, 1484 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5815, 1484 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 5815, 1484 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 5815, 1484 is 1.
HCF(5815, 1484) = 1
HCF of 5815, 1484 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5815, 1484 is 1.
Highest Common Factor of 5815,1484 is 1
Step 1: Since 5815 > 1484, we apply the division lemma to 5815 and 1484, to get
5815 = 1484 x 3 + 1363
Step 2: Since the reminder 1484 ≠ 0, we apply division lemma to 1363 and 1484, to get
1484 = 1363 x 1 + 121
Step 3: We consider the new divisor 1363 and the new remainder 121, and apply the division lemma to get
1363 = 121 x 11 + 32
We consider the new divisor 121 and the new remainder 32,and apply the division lemma to get
121 = 32 x 3 + 25
We consider the new divisor 32 and the new remainder 25,and apply the division lemma to get
32 = 25 x 1 + 7
We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get
25 = 7 x 3 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 5815 and 1484 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(32,25) = HCF(121,32) = HCF(1363,121) = HCF(1484,1363) = HCF(5815,1484) .
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Frequently Asked Questions on HCF of 5815, 1484 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 5815, 1484?
Answer: HCF of 5815, 1484 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5815, 1484 using Euclid's Algorithm?
Answer: For arbitrary numbers 5815, 1484 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
