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 401, 697, 618 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 401, 697, 618 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 401, 697, 618 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 401, 697, 618 is 1.
HCF(401, 697, 618) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 401, 697, 618 is 1.
Step 1: Since 697 > 401, we apply the division lemma to 697 and 401, to get
697 = 401 x 1 + 296
Step 2: Since the reminder 401 ≠ 0, we apply division lemma to 296 and 401, to get
401 = 296 x 1 + 105
Step 3: We consider the new divisor 296 and the new remainder 105, and apply the division lemma to get
296 = 105 x 2 + 86
We consider the new divisor 105 and the new remainder 86,and apply the division lemma to get
105 = 86 x 1 + 19
We consider the new divisor 86 and the new remainder 19,and apply the division lemma to get
86 = 19 x 4 + 10
We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get
19 = 10 x 1 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 401 and 697 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(86,19) = HCF(105,86) = HCF(296,105) = HCF(401,296) = HCF(697,401) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 618 > 1, we apply the division lemma to 618 and 1, to get
618 = 1 x 618 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 618 is 1
Notice that 1 = HCF(618,1) .
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 401, 697, 618?
Answer: HCF of 401, 697, 618 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 401, 697, 618 using Euclid's Algorithm?
Answer: For arbitrary numbers 401, 697, 618 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.