Highest Common Factor of 305, 797, 605 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 305, 797, 605 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 305, 797, 605 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 305, 797, 605 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 305, 797, 605 is 1.

HCF(305, 797, 605) = 1

HCF of 305, 797, 605 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 305, 797, 605 is 1.

Highest Common Factor of 305,797,605 using Euclid's algorithm

Highest Common Factor of 305,797,605 is 1

Step 1: Since 797 > 305, we apply the division lemma to 797 and 305, to get

797 = 305 x 2 + 187

Step 2: Since the reminder 305 ≠ 0, we apply division lemma to 187 and 305, to get

305 = 187 x 1 + 118

Step 3: We consider the new divisor 187 and the new remainder 118, and apply the division lemma to get

187 = 118 x 1 + 69

We consider the new divisor 118 and the new remainder 69,and apply the division lemma to get

118 = 69 x 1 + 49

We consider the new divisor 69 and the new remainder 49,and apply the division lemma to get

69 = 49 x 1 + 20

We consider the new divisor 49 and the new remainder 20,and apply the division lemma to get

49 = 20 x 2 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 305 and 797 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(49,20) = HCF(69,49) = HCF(118,69) = HCF(187,118) = HCF(305,187) = HCF(797,305) .

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

Step 1: Since 605 > 1, we apply the division lemma to 605 and 1, to get

605 = 1 x 605 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 605 is 1

Notice that 1 = HCF(605,1) .

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Frequently Asked Questions on HCF of 305, 797, 605 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 305, 797, 605?

Answer: HCF of 305, 797, 605 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 305, 797, 605 using Euclid's Algorithm?

Answer: For arbitrary numbers 305, 797, 605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.