Highest Common Factor of 5065, 1881 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 5065, 1881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5065, 1881 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 5065, 1881 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 5065, 1881 is 1.
HCF(5065, 1881) = 1
HCF of 5065, 1881 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5065, 1881 is 1.
Highest Common Factor of 5065,1881 is 1
Step 1: Since 5065 > 1881, we apply the division lemma to 5065 and 1881, to get
5065 = 1881 x 2 + 1303
Step 2: Since the reminder 1881 ≠ 0, we apply division lemma to 1303 and 1881, to get
1881 = 1303 x 1 + 578
Step 3: We consider the new divisor 1303 and the new remainder 578, and apply the division lemma to get
1303 = 578 x 2 + 147
We consider the new divisor 578 and the new remainder 147,and apply the division lemma to get
578 = 147 x 3 + 137
We consider the new divisor 147 and the new remainder 137,and apply the division lemma to get
147 = 137 x 1 + 10
We consider the new divisor 137 and the new remainder 10,and apply the division lemma to get
137 = 10 x 13 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5065 and 1881 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(137,10) = HCF(147,137) = HCF(578,147) = HCF(1303,578) = HCF(1881,1303) = HCF(5065,1881) .
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Frequently Asked Questions on HCF of 5065, 1881 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 5065, 1881?
Answer: HCF of 5065, 1881 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5065, 1881 using Euclid's Algorithm?
Answer: For arbitrary numbers 5065, 1881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
