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 6281, 8299 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6281, 8299 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 6281, 8299 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 6281, 8299 is 1.
HCF(6281, 8299) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6281, 8299 is 1.
Step 1: Since 8299 > 6281, we apply the division lemma to 8299 and 6281, to get
8299 = 6281 x 1 + 2018
Step 2: Since the reminder 6281 ≠ 0, we apply division lemma to 2018 and 6281, to get
6281 = 2018 x 3 + 227
Step 3: We consider the new divisor 2018 and the new remainder 227, and apply the division lemma to get
2018 = 227 x 8 + 202
We consider the new divisor 227 and the new remainder 202,and apply the division lemma to get
227 = 202 x 1 + 25
We consider the new divisor 202 and the new remainder 25,and apply the division lemma to get
202 = 25 x 8 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6281 and 8299 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(202,25) = HCF(227,202) = HCF(2018,227) = HCF(6281,2018) = HCF(8299,6281) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6281, 8299?
Answer: HCF of 6281, 8299 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6281, 8299 using Euclid's Algorithm?
Answer: For arbitrary numbers 6281, 8299 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.