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 3018, 3365 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3018, 3365 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 3018, 3365 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 3018, 3365 is 1.
HCF(3018, 3365) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3018, 3365 is 1.
Step 1: Since 3365 > 3018, we apply the division lemma to 3365 and 3018, to get
3365 = 3018 x 1 + 347
Step 2: Since the reminder 3018 ≠ 0, we apply division lemma to 347 and 3018, to get
3018 = 347 x 8 + 242
Step 3: We consider the new divisor 347 and the new remainder 242, and apply the division lemma to get
347 = 242 x 1 + 105
We consider the new divisor 242 and the new remainder 105,and apply the division lemma to get
242 = 105 x 2 + 32
We consider the new divisor 105 and the new remainder 32,and apply the division lemma to get
105 = 32 x 3 + 9
We consider the new divisor 32 and the new remainder 9,and apply the division lemma to get
32 = 9 x 3 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3018 and 3365 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(105,32) = HCF(242,105) = HCF(347,242) = HCF(3018,347) = HCF(3365,3018) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 3018, 3365?
Answer: HCF of 3018, 3365 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3018, 3365 using Euclid's Algorithm?
Answer: For arbitrary numbers 3018, 3365 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.