Highest Common Factor of 3805, 5437, 41319 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 3805, 5437, 41319 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3805, 5437, 41319 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 3805, 5437, 41319 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 3805, 5437, 41319 is 1.
HCF(3805, 5437, 41319) = 1
HCF of 3805, 5437, 41319 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3805, 5437, 41319 is 1.
Highest Common Factor of 3805,5437,41319 is 1
Step 1: Since 5437 > 3805, we apply the division lemma to 5437 and 3805, to get
5437 = 3805 x 1 + 1632
Step 2: Since the reminder 3805 ≠ 0, we apply division lemma to 1632 and 3805, to get
3805 = 1632 x 2 + 541
Step 3: We consider the new divisor 1632 and the new remainder 541, and apply the division lemma to get
1632 = 541 x 3 + 9
We consider the new divisor 541 and the new remainder 9,and apply the division lemma to get
541 = 9 x 60 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3805 and 5437 is 1
Notice that 1 = HCF(9,1) = HCF(541,9) = HCF(1632,541) = HCF(3805,1632) = HCF(5437,3805) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 41319 > 1, we apply the division lemma to 41319 and 1, to get
41319 = 1 x 41319 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 41319 is 1
Notice that 1 = HCF(41319,1) .
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Frequently Asked Questions on HCF of 3805, 5437, 41319 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 3805, 5437, 41319?
Answer: HCF of 3805, 5437, 41319 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3805, 5437, 41319 using Euclid's Algorithm?
Answer: For arbitrary numbers 3805, 5437, 41319 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.