Highest Common Factor of 3837, 3817, 49543 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 3837, 3817, 49543 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3837, 3817, 49543 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 3837, 3817, 49543 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 3837, 3817, 49543 is 1.
HCF(3837, 3817, 49543) = 1
HCF of 3837, 3817, 49543 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3837, 3817, 49543 is 1.
Highest Common Factor of 3837,3817,49543 is 1
Step 1: Since 3837 > 3817, we apply the division lemma to 3837 and 3817, to get
3837 = 3817 x 1 + 20
Step 2: Since the reminder 3817 ≠ 0, we apply division lemma to 20 and 3817, to get
3817 = 20 x 190 + 17
Step 3: We consider the new divisor 20 and the new remainder 17, and apply the division lemma to get
20 = 17 x 1 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 3837 and 3817 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(3817,20) = HCF(3837,3817) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 49543 > 1, we apply the division lemma to 49543 and 1, to get
49543 = 1 x 49543 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 49543 is 1
Notice that 1 = HCF(49543,1) .
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Frequently Asked Questions on HCF of 3837, 3817, 49543 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 3837, 3817, 49543?
Answer: HCF of 3837, 3817, 49543 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3837, 3817, 49543 using Euclid's Algorithm?
Answer: For arbitrary numbers 3837, 3817, 49543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.