Highest Common Factor of 8245, 6210 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 8245, 6210 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 8245, 6210 is 5 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 8245, 6210 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 8245, 6210 is 5.
HCF(8245, 6210) = 5
HCF of 8245, 6210 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8245, 6210 is 5.
Highest Common Factor of 8245,6210 is 5
Step 1: Since 8245 > 6210, we apply the division lemma to 8245 and 6210, to get
8245 = 6210 x 1 + 2035
Step 2: Since the reminder 6210 ≠ 0, we apply division lemma to 2035 and 6210, to get
6210 = 2035 x 3 + 105
Step 3: We consider the new divisor 2035 and the new remainder 105, and apply the division lemma to get
2035 = 105 x 19 + 40
We consider the new divisor 105 and the new remainder 40,and apply the division lemma to get
105 = 40 x 2 + 25
We consider the new divisor 40 and the new remainder 25,and apply the division lemma to get
40 = 25 x 1 + 15
We consider the new divisor 25 and the new remainder 15,and apply the division lemma to get
25 = 15 x 1 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8245 and 6210 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(40,25) = HCF(105,40) = HCF(2035,105) = HCF(6210,2035) = HCF(8245,6210) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8245, 6210 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 8245, 6210?
Answer: HCF of 8245, 6210 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8245, 6210 using Euclid's Algorithm?
Answer: For arbitrary numbers 8245, 6210 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.