Highest Common Factor of 8895, 2178 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 8895, 2178 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8895, 2178 is 3 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 8895, 2178 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 8895, 2178 is 3.
HCF(8895, 2178) = 3
HCF of 8895, 2178 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8895, 2178 is 3.
Highest Common Factor of 8895,2178 is 3
Step 1: Since 8895 > 2178, we apply the division lemma to 8895 and 2178, to get
8895 = 2178 x 4 + 183
Step 2: Since the reminder 2178 ≠ 0, we apply division lemma to 183 and 2178, to get
2178 = 183 x 11 + 165
Step 3: We consider the new divisor 183 and the new remainder 165, and apply the division lemma to get
183 = 165 x 1 + 18
We consider the new divisor 165 and the new remainder 18,and apply the division lemma to get
165 = 18 x 9 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8895 and 2178 is 3
Notice that 3 = HCF(18,3) = HCF(165,18) = HCF(183,165) = HCF(2178,183) = HCF(8895,2178) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8895, 2178 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 8895, 2178?
Answer: HCF of 8895, 2178 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8895, 2178 using Euclid's Algorithm?
Answer: For arbitrary numbers 8895, 2178 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
