Highest Common Factor of 1817, 5911, 51749 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 1817, 5911, 51749 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1817, 5911, 51749 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 1817, 5911, 51749 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 1817, 5911, 51749 is 1.
HCF(1817, 5911, 51749) = 1
HCF of 1817, 5911, 51749 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1817, 5911, 51749 is 1.
Highest Common Factor of 1817,5911,51749 is 1
Step 1: Since 5911 > 1817, we apply the division lemma to 5911 and 1817, to get
5911 = 1817 x 3 + 460
Step 2: Since the reminder 1817 ≠ 0, we apply division lemma to 460 and 1817, to get
1817 = 460 x 3 + 437
Step 3: We consider the new divisor 460 and the new remainder 437, and apply the division lemma to get
460 = 437 x 1 + 23
We consider the new divisor 437 and the new remainder 23, and apply the division lemma to get
437 = 23 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 1817 and 5911 is 23
Notice that 23 = HCF(437,23) = HCF(460,437) = HCF(1817,460) = HCF(5911,1817) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 51749 > 23, we apply the division lemma to 51749 and 23, to get
51749 = 23 x 2249 + 22
Step 2: Since the reminder 23 ≠ 0, we apply division lemma to 22 and 23, to get
23 = 22 x 1 + 1
Step 3: We consider the new divisor 22 and the new remainder 1, and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 23 and 51749 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(51749,23) .
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Frequently Asked Questions on HCF of 1817, 5911, 51749 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 1817, 5911, 51749?
Answer: HCF of 1817, 5911, 51749 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1817, 5911, 51749 using Euclid's Algorithm?
Answer: For arbitrary numbers 1817, 5911, 51749 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.