Highest Common Factor of 605, 2263 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 605, 2263 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 605, 2263 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 605, 2263 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 605, 2263 is 1.
HCF(605, 2263) = 1
HCF of 605, 2263 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 605, 2263 is 1.
Highest Common Factor of 605,2263 is 1
Step 1: Since 2263 > 605, we apply the division lemma to 2263 and 605, to get
2263 = 605 x 3 + 448
Step 2: Since the reminder 605 ≠ 0, we apply division lemma to 448 and 605, to get
605 = 448 x 1 + 157
Step 3: We consider the new divisor 448 and the new remainder 157, and apply the division lemma to get
448 = 157 x 2 + 134
We consider the new divisor 157 and the new remainder 134,and apply the division lemma to get
157 = 134 x 1 + 23
We consider the new divisor 134 and the new remainder 23,and apply the division lemma to get
134 = 23 x 5 + 19
We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get
23 = 19 x 1 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 605 and 2263 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(134,23) = HCF(157,134) = HCF(448,157) = HCF(605,448) = HCF(2263,605) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 605, 2263 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 605, 2263?
Answer: HCF of 605, 2263 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 605, 2263 using Euclid's Algorithm?
Answer: For arbitrary numbers 605, 2263 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
