Highest Common Factor of 1912, 5857, 18034 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 1912, 5857, 18034 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1912, 5857, 18034 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 1912, 5857, 18034 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 1912, 5857, 18034 is 1.
HCF(1912, 5857, 18034) = 1
HCF of 1912, 5857, 18034 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1912, 5857, 18034 is 1.
Highest Common Factor of 1912,5857,18034 is 1
Step 1: Since 5857 > 1912, we apply the division lemma to 5857 and 1912, to get
5857 = 1912 x 3 + 121
Step 2: Since the reminder 1912 ≠ 0, we apply division lemma to 121 and 1912, to get
1912 = 121 x 15 + 97
Step 3: We consider the new divisor 121 and the new remainder 97, and apply the division lemma to get
121 = 97 x 1 + 24
We consider the new divisor 97 and the new remainder 24,and apply the division lemma to get
97 = 24 x 4 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1912 and 5857 is 1
Notice that 1 = HCF(24,1) = HCF(97,24) = HCF(121,97) = HCF(1912,121) = HCF(5857,1912) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 18034 > 1, we apply the division lemma to 18034 and 1, to get
18034 = 1 x 18034 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 18034 is 1
Notice that 1 = HCF(18034,1) .
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Frequently Asked Questions on HCF of 1912, 5857, 18034 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 1912, 5857, 18034?
Answer: HCF of 1912, 5857, 18034 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1912, 5857, 18034 using Euclid's Algorithm?
Answer: For arbitrary numbers 1912, 5857, 18034 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.