Highest Common Factor of 4073, 6286 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 4073, 6286 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4073, 6286 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 4073, 6286 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 4073, 6286 is 1.
HCF(4073, 6286) = 1
HCF of 4073, 6286 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4073, 6286 is 1.
Highest Common Factor of 4073,6286 is 1
Step 1: Since 6286 > 4073, we apply the division lemma to 6286 and 4073, to get
6286 = 4073 x 1 + 2213
Step 2: Since the reminder 4073 ≠ 0, we apply division lemma to 2213 and 4073, to get
4073 = 2213 x 1 + 1860
Step 3: We consider the new divisor 2213 and the new remainder 1860, and apply the division lemma to get
2213 = 1860 x 1 + 353
We consider the new divisor 1860 and the new remainder 353,and apply the division lemma to get
1860 = 353 x 5 + 95
We consider the new divisor 353 and the new remainder 95,and apply the division lemma to get
353 = 95 x 3 + 68
We consider the new divisor 95 and the new remainder 68,and apply the division lemma to get
95 = 68 x 1 + 27
We consider the new divisor 68 and the new remainder 27,and apply the division lemma to get
68 = 27 x 2 + 14
We consider the new divisor 27 and the new remainder 14,and apply the division lemma to get
27 = 14 x 1 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4073 and 6286 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(27,14) = HCF(68,27) = HCF(95,68) = HCF(353,95) = HCF(1860,353) = HCF(2213,1860) = HCF(4073,2213) = HCF(6286,4073) .
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Frequently Asked Questions on HCF of 4073, 6286 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 4073, 6286?
Answer: HCF of 4073, 6286 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4073, 6286 using Euclid's Algorithm?
Answer: For arbitrary numbers 4073, 6286 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.