Highest Common Factor of 369, 5084, 3614 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 369, 5084, 3614 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 369, 5084, 3614 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 369, 5084, 3614 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 369, 5084, 3614 is 1.
HCF(369, 5084, 3614) = 1
HCF of 369, 5084, 3614 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 369, 5084, 3614 is 1.
Highest Common Factor of 369,5084,3614 is 1
Step 1: Since 5084 > 369, we apply the division lemma to 5084 and 369, to get
5084 = 369 x 13 + 287
Step 2: Since the reminder 369 ≠ 0, we apply division lemma to 287 and 369, to get
369 = 287 x 1 + 82
Step 3: We consider the new divisor 287 and the new remainder 82, and apply the division lemma to get
287 = 82 x 3 + 41
We consider the new divisor 82 and the new remainder 41, and apply the division lemma to get
82 = 41 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 41, the HCF of 369 and 5084 is 41
Notice that 41 = HCF(82,41) = HCF(287,82) = HCF(369,287) = HCF(5084,369) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3614 > 41, we apply the division lemma to 3614 and 41, to get
3614 = 41 x 88 + 6
Step 2: Since the reminder 41 ≠ 0, we apply division lemma to 6 and 41, to get
41 = 6 x 6 + 5
Step 3: We consider the new divisor 6 and the new remainder 5, and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 41 and 3614 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(41,6) = HCF(3614,41) .
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Frequently Asked Questions on HCF of 369, 5084, 3614 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 369, 5084, 3614?
Answer: HCF of 369, 5084, 3614 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 369, 5084, 3614 using Euclid's Algorithm?
Answer: For arbitrary numbers 369, 5084, 3614 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.