Highest Common Factor of 1814, 8704, 39395 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 1814, 8704, 39395 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1814, 8704, 39395 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 1814, 8704, 39395 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 1814, 8704, 39395 is 1.

HCF(1814, 8704, 39395) = 1

HCF of 1814, 8704, 39395 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 1814, 8704, 39395 is 1.

Highest Common Factor of 1814,8704,39395 using Euclid's algorithm

Highest Common Factor of 1814,8704,39395 is 1

Step 1: Since 8704 > 1814, we apply the division lemma to 8704 and 1814, to get

8704 = 1814 x 4 + 1448

Step 2: Since the reminder 1814 ≠ 0, we apply division lemma to 1448 and 1814, to get

1814 = 1448 x 1 + 366

Step 3: We consider the new divisor 1448 and the new remainder 366, and apply the division lemma to get

1448 = 366 x 3 + 350

We consider the new divisor 366 and the new remainder 350,and apply the division lemma to get

366 = 350 x 1 + 16

We consider the new divisor 350 and the new remainder 16,and apply the division lemma to get

350 = 16 x 21 + 14

We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get

16 = 14 x 1 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1814 and 8704 is 2

Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(350,16) = HCF(366,350) = HCF(1448,366) = HCF(1814,1448) = HCF(8704,1814) .

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

Step 1: Since 39395 > 2, we apply the division lemma to 39395 and 2, to get

39395 = 2 x 19697 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 39395 is 1

Notice that 1 = HCF(2,1) = HCF(39395,2) .

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Frequently Asked Questions on HCF of 1814, 8704, 39395 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 1814, 8704, 39395?

Answer: HCF of 1814, 8704, 39395 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1814, 8704, 39395 using Euclid's Algorithm?

Answer: For arbitrary numbers 1814, 8704, 39395 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.