Highest Common Factor of 385, 622, 153 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 385, 622, 153 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 385, 622, 153 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 385, 622, 153 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 385, 622, 153 is 1.

HCF(385, 622, 153) = 1

HCF of 385, 622, 153 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 385, 622, 153 is 1.

Highest Common Factor of 385,622,153 using Euclid's algorithm

Highest Common Factor of 385,622,153 is 1

Step 1: Since 622 > 385, we apply the division lemma to 622 and 385, to get

622 = 385 x 1 + 237

Step 2: Since the reminder 385 ≠ 0, we apply division lemma to 237 and 385, to get

385 = 237 x 1 + 148

Step 3: We consider the new divisor 237 and the new remainder 148, and apply the division lemma to get

237 = 148 x 1 + 89

We consider the new divisor 148 and the new remainder 89,and apply the division lemma to get

148 = 89 x 1 + 59

We consider the new divisor 89 and the new remainder 59,and apply the division lemma to get

89 = 59 x 1 + 30

We consider the new divisor 59 and the new remainder 30,and apply the division lemma to get

59 = 30 x 1 + 29

We consider the new divisor 30 and the new remainder 29,and apply the division lemma to get

30 = 29 x 1 + 1

We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get

29 = 1 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 385 and 622 is 1

Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(59,30) = HCF(89,59) = HCF(148,89) = HCF(237,148) = HCF(385,237) = HCF(622,385) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 153 > 1, we apply the division lemma to 153 and 1, to get

153 = 1 x 153 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 153 is 1

Notice that 1 = HCF(153,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 385, 622, 153 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 385, 622, 153?

Answer: HCF of 385, 622, 153 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 385, 622, 153 using Euclid's Algorithm?

Answer: For arbitrary numbers 385, 622, 153 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.