Highest Common Factor of 6899, 1428, 15490 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 6899, 1428, 15490 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6899, 1428, 15490 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 6899, 1428, 15490 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 6899, 1428, 15490 is 1.

HCF(6899, 1428, 15490) = 1

HCF of 6899, 1428, 15490 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 6899, 1428, 15490 is 1.

Highest Common Factor of 6899,1428,15490 using Euclid's algorithm

Highest Common Factor of 6899,1428,15490 is 1

Step 1: Since 6899 > 1428, we apply the division lemma to 6899 and 1428, to get

6899 = 1428 x 4 + 1187

Step 2: Since the reminder 1428 ≠ 0, we apply division lemma to 1187 and 1428, to get

1428 = 1187 x 1 + 241

Step 3: We consider the new divisor 1187 and the new remainder 241, and apply the division lemma to get

1187 = 241 x 4 + 223

We consider the new divisor 241 and the new remainder 223,and apply the division lemma to get

241 = 223 x 1 + 18

We consider the new divisor 223 and the new remainder 18,and apply the division lemma to get

223 = 18 x 12 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6899 and 1428 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(223,18) = HCF(241,223) = HCF(1187,241) = HCF(1428,1187) = HCF(6899,1428) .

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

Step 1: Since 15490 > 1, we apply the division lemma to 15490 and 1, to get

15490 = 1 x 15490 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15490 is 1

Notice that 1 = HCF(15490,1) .

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Frequently Asked Questions on HCF of 6899, 1428, 15490 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 6899, 1428, 15490?

Answer: HCF of 6899, 1428, 15490 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6899, 1428, 15490 using Euclid's Algorithm?

Answer: For arbitrary numbers 6899, 1428, 15490 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.