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 8130, 6882 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 8130, 6882 is 6 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 8130, 6882 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 8130, 6882 is 6.
HCF(8130, 6882) = 6
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8130, 6882 is 6.
Step 1: Since 8130 > 6882, we apply the division lemma to 8130 and 6882, to get
8130 = 6882 x 1 + 1248
Step 2: Since the reminder 6882 ≠ 0, we apply division lemma to 1248 and 6882, to get
6882 = 1248 x 5 + 642
Step 3: We consider the new divisor 1248 and the new remainder 642, and apply the division lemma to get
1248 = 642 x 1 + 606
We consider the new divisor 642 and the new remainder 606,and apply the division lemma to get
642 = 606 x 1 + 36
We consider the new divisor 606 and the new remainder 36,and apply the division lemma to get
606 = 36 x 16 + 30
We consider the new divisor 36 and the new remainder 30,and apply the division lemma to get
36 = 30 x 1 + 6
We consider the new divisor 30 and the new remainder 6,and apply the division lemma to get
30 = 6 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 8130 and 6882 is 6
Notice that 6 = HCF(30,6) = HCF(36,30) = HCF(606,36) = HCF(642,606) = HCF(1248,642) = HCF(6882,1248) = HCF(8130,6882) .
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 8130, 6882?
Answer: HCF of 8130, 6882 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8130, 6882 using Euclid's Algorithm?
Answer: For arbitrary numbers 8130, 6882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.