Highest Common Factor of 1717, 6192 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 1717, 6192 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1717, 6192 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 1717, 6192 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 1717, 6192 is 1.

HCF(1717, 6192) = 1

HCF of 1717, 6192 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 1717, 6192 is 1.

Highest Common Factor of 1717,6192 using Euclid's algorithm

Highest Common Factor of 1717,6192 is 1

Step 1: Since 6192 > 1717, we apply the division lemma to 6192 and 1717, to get

6192 = 1717 x 3 + 1041

Step 2: Since the reminder 1717 ≠ 0, we apply division lemma to 1041 and 1717, to get

1717 = 1041 x 1 + 676

Step 3: We consider the new divisor 1041 and the new remainder 676, and apply the division lemma to get

1041 = 676 x 1 + 365

We consider the new divisor 676 and the new remainder 365,and apply the division lemma to get

676 = 365 x 1 + 311

We consider the new divisor 365 and the new remainder 311,and apply the division lemma to get

365 = 311 x 1 + 54

We consider the new divisor 311 and the new remainder 54,and apply the division lemma to get

311 = 54 x 5 + 41

We consider the new divisor 54 and the new remainder 41,and apply the division lemma to get

54 = 41 x 1 + 13

We consider the new divisor 41 and the new remainder 13,and apply the division lemma to get

41 = 13 x 3 + 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 1717 and 6192 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(41,13) = HCF(54,41) = HCF(311,54) = HCF(365,311) = HCF(676,365) = HCF(1041,676) = HCF(1717,1041) = HCF(6192,1717) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 1717, 6192 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 1717, 6192?

Answer: HCF of 1717, 6192 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1717, 6192 using Euclid's Algorithm?

Answer: For arbitrary numbers 1717, 6192 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.