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 3655, 2086, 15027 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3655, 2086, 15027 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 3655, 2086, 15027 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 3655, 2086, 15027 is 1.
HCF(3655, 2086, 15027) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3655, 2086, 15027 is 1.
Step 1: Since 3655 > 2086, we apply the division lemma to 3655 and 2086, to get
3655 = 2086 x 1 + 1569
Step 2: Since the reminder 2086 ≠ 0, we apply division lemma to 1569 and 2086, to get
2086 = 1569 x 1 + 517
Step 3: We consider the new divisor 1569 and the new remainder 517, and apply the division lemma to get
1569 = 517 x 3 + 18
We consider the new divisor 517 and the new remainder 18,and apply the division lemma to get
517 = 18 x 28 + 13
We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get
18 = 13 x 1 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 3655 and 2086 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(517,18) = HCF(1569,517) = HCF(2086,1569) = HCF(3655,2086) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 15027 > 1, we apply the division lemma to 15027 and 1, to get
15027 = 1 x 15027 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15027 is 1
Notice that 1 = HCF(15027,1) .
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 3655, 2086, 15027?
Answer: HCF of 3655, 2086, 15027 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3655, 2086, 15027 using Euclid's Algorithm?
Answer: For arbitrary numbers 3655, 2086, 15027 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.