Highest Common Factor of 1881, 5347 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 1881, 5347 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1881, 5347 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 1881, 5347 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 1881, 5347 is 1.
HCF(1881, 5347) = 1
HCF of 1881, 5347 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1881, 5347 is 1.
Highest Common Factor of 1881,5347 is 1
Step 1: Since 5347 > 1881, we apply the division lemma to 5347 and 1881, to get
5347 = 1881 x 2 + 1585
Step 2: Since the reminder 1881 ≠ 0, we apply division lemma to 1585 and 1881, to get
1881 = 1585 x 1 + 296
Step 3: We consider the new divisor 1585 and the new remainder 296, and apply the division lemma to get
1585 = 296 x 5 + 105
We consider the new divisor 296 and the new remainder 105,and apply the division lemma to get
296 = 105 x 2 + 86
We consider the new divisor 105 and the new remainder 86,and apply the division lemma to get
105 = 86 x 1 + 19
We consider the new divisor 86 and the new remainder 19,and apply the division lemma to get
86 = 19 x 4 + 10
We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get
19 = 10 x 1 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 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 1881 and 5347 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(86,19) = HCF(105,86) = HCF(296,105) = HCF(1585,296) = HCF(1881,1585) = HCF(5347,1881) .
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Frequently Asked Questions on HCF of 1881, 5347 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 1881, 5347?
Answer: HCF of 1881, 5347 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1881, 5347 using Euclid's Algorithm?
Answer: For arbitrary numbers 1881, 5347 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
