Highest Common Factor of 3313, 3605 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 3313, 3605 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3313, 3605 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 3313, 3605 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 3313, 3605 is 1.
HCF(3313, 3605) = 1
HCF of 3313, 3605 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3313, 3605 is 1.
Highest Common Factor of 3313,3605 is 1
Step 1: Since 3605 > 3313, we apply the division lemma to 3605 and 3313, to get
3605 = 3313 x 1 + 292
Step 2: Since the reminder 3313 ≠ 0, we apply division lemma to 292 and 3313, to get
3313 = 292 x 11 + 101
Step 3: We consider the new divisor 292 and the new remainder 101, and apply the division lemma to get
292 = 101 x 2 + 90
We consider the new divisor 101 and the new remainder 90,and apply the division lemma to get
101 = 90 x 1 + 11
We consider the new divisor 90 and the new remainder 11,and apply the division lemma to get
90 = 11 x 8 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3313 and 3605 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(90,11) = HCF(101,90) = HCF(292,101) = HCF(3313,292) = HCF(3605,3313) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3313, 3605 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 3313, 3605?
Answer: HCF of 3313, 3605 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3313, 3605 using Euclid's Algorithm?
Answer: For arbitrary numbers 3313, 3605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.