Highest Common Factor of 1397, 6819, 47365 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 1397, 6819, 47365 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1397, 6819, 47365 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 1397, 6819, 47365 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 1397, 6819, 47365 is 1.

HCF(1397, 6819, 47365) = 1

HCF of 1397, 6819, 47365 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 1397, 6819, 47365 is 1.

Highest Common Factor of 1397,6819,47365 using Euclid's algorithm

Highest Common Factor of 1397,6819,47365 is 1

Step 1: Since 6819 > 1397, we apply the division lemma to 6819 and 1397, to get

6819 = 1397 x 4 + 1231

Step 2: Since the reminder 1397 ≠ 0, we apply division lemma to 1231 and 1397, to get

1397 = 1231 x 1 + 166

Step 3: We consider the new divisor 1231 and the new remainder 166, and apply the division lemma to get

1231 = 166 x 7 + 69

We consider the new divisor 166 and the new remainder 69,and apply the division lemma to get

166 = 69 x 2 + 28

We consider the new divisor 69 and the new remainder 28,and apply the division lemma to get

69 = 28 x 2 + 13

We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get

28 = 13 x 2 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 1397 and 6819 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(69,28) = HCF(166,69) = HCF(1231,166) = HCF(1397,1231) = HCF(6819,1397) .

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

Step 1: Since 47365 > 1, we apply the division lemma to 47365 and 1, to get

47365 = 1 x 47365 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47365 is 1

Notice that 1 = HCF(47365,1) .

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Frequently Asked Questions on HCF of 1397, 6819, 47365 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 1397, 6819, 47365?

Answer: HCF of 1397, 6819, 47365 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1397, 6819, 47365 using Euclid's Algorithm?

Answer: For arbitrary numbers 1397, 6819, 47365 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.