Highest Common Factor of 2288, 665 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 2288, 665 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2288, 665 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 2288, 665 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 2288, 665 is 1.
HCF(2288, 665) = 1
HCF of 2288, 665 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2288, 665 is 1.
Highest Common Factor of 2288,665 is 1
Step 1: Since 2288 > 665, we apply the division lemma to 2288 and 665, to get
2288 = 665 x 3 + 293
Step 2: Since the reminder 665 ≠ 0, we apply division lemma to 293 and 665, to get
665 = 293 x 2 + 79
Step 3: We consider the new divisor 293 and the new remainder 79, and apply the division lemma to get
293 = 79 x 3 + 56
We consider the new divisor 79 and the new remainder 56,and apply the division lemma to get
79 = 56 x 1 + 23
We consider the new divisor 56 and the new remainder 23,and apply the division lemma to get
56 = 23 x 2 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2288 and 665 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(56,23) = HCF(79,56) = HCF(293,79) = HCF(665,293) = HCF(2288,665) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2288, 665 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 2288, 665?
Answer: HCF of 2288, 665 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2288, 665 using Euclid's Algorithm?
Answer: For arbitrary numbers 2288, 665 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
