Highest Common Factor of 6082, 2847 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 6082, 2847 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6082, 2847 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 6082, 2847 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 6082, 2847 is 1.
HCF(6082, 2847) = 1
HCF of 6082, 2847 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6082, 2847 is 1.
Highest Common Factor of 6082,2847 is 1
Step 1: Since 6082 > 2847, we apply the division lemma to 6082 and 2847, to get
6082 = 2847 x 2 + 388
Step 2: Since the reminder 2847 ≠ 0, we apply division lemma to 388 and 2847, to get
2847 = 388 x 7 + 131
Step 3: We consider the new divisor 388 and the new remainder 131, and apply the division lemma to get
388 = 131 x 2 + 126
We consider the new divisor 131 and the new remainder 126,and apply the division lemma to get
131 = 126 x 1 + 5
We consider the new divisor 126 and the new remainder 5,and apply the division lemma to get
126 = 5 x 25 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6082 and 2847 is 1
Notice that 1 = HCF(5,1) = HCF(126,5) = HCF(131,126) = HCF(388,131) = HCF(2847,388) = HCF(6082,2847) .
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Frequently Asked Questions on HCF of 6082, 2847 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 6082, 2847?
Answer: HCF of 6082, 2847 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6082, 2847 using Euclid's Algorithm?
Answer: For arbitrary numbers 6082, 2847 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.