Highest Common Factor of 2057, 4886 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 2057, 4886 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2057, 4886 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 2057, 4886 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 2057, 4886 is 1.
HCF(2057, 4886) = 1
HCF of 2057, 4886 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2057, 4886 is 1.
Highest Common Factor of 2057,4886 is 1
Step 1: Since 4886 > 2057, we apply the division lemma to 4886 and 2057, to get
4886 = 2057 x 2 + 772
Step 2: Since the reminder 2057 ≠ 0, we apply division lemma to 772 and 2057, to get
2057 = 772 x 2 + 513
Step 3: We consider the new divisor 772 and the new remainder 513, and apply the division lemma to get
772 = 513 x 1 + 259
We consider the new divisor 513 and the new remainder 259,and apply the division lemma to get
513 = 259 x 1 + 254
We consider the new divisor 259 and the new remainder 254,and apply the division lemma to get
259 = 254 x 1 + 5
We consider the new divisor 254 and the new remainder 5,and apply the division lemma to get
254 = 5 x 50 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2057 and 4886 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(254,5) = HCF(259,254) = HCF(513,259) = HCF(772,513) = HCF(2057,772) = HCF(4886,2057) .
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Frequently Asked Questions on HCF of 2057, 4886 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 2057, 4886?
Answer: HCF of 2057, 4886 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2057, 4886 using Euclid's Algorithm?
Answer: For arbitrary numbers 2057, 4886 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
