Highest Common Factor of 8362, 6180 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 8362, 6180 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8362, 6180 is 2 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 8362, 6180 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 8362, 6180 is 2.
HCF(8362, 6180) = 2
HCF of 8362, 6180 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8362, 6180 is 2.
Highest Common Factor of 8362,6180 is 2
Step 1: Since 8362 > 6180, we apply the division lemma to 8362 and 6180, to get
8362 = 6180 x 1 + 2182
Step 2: Since the reminder 6180 ≠ 0, we apply division lemma to 2182 and 6180, to get
6180 = 2182 x 2 + 1816
Step 3: We consider the new divisor 2182 and the new remainder 1816, and apply the division lemma to get
2182 = 1816 x 1 + 366
We consider the new divisor 1816 and the new remainder 366,and apply the division lemma to get
1816 = 366 x 4 + 352
We consider the new divisor 366 and the new remainder 352,and apply the division lemma to get
366 = 352 x 1 + 14
We consider the new divisor 352 and the new remainder 14,and apply the division lemma to get
352 = 14 x 25 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8362 and 6180 is 2
Notice that 2 = HCF(14,2) = HCF(352,14) = HCF(366,352) = HCF(1816,366) = HCF(2182,1816) = HCF(6180,2182) = HCF(8362,6180) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8362, 6180 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 8362, 6180?
Answer: HCF of 8362, 6180 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8362, 6180 using Euclid's Algorithm?
Answer: For arbitrary numbers 8362, 6180 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.