Highest Common Factor of 5692, 3419, 90017 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 5692, 3419, 90017 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5692, 3419, 90017 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 5692, 3419, 90017 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 5692, 3419, 90017 is 1.

HCF(5692, 3419, 90017) = 1

HCF of 5692, 3419, 90017 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 5692, 3419, 90017 is 1.

Highest Common Factor of 5692,3419,90017 using Euclid's algorithm

Highest Common Factor of 5692,3419,90017 is 1

Step 1: Since 5692 > 3419, we apply the division lemma to 5692 and 3419, to get

5692 = 3419 x 1 + 2273

Step 2: Since the reminder 3419 ≠ 0, we apply division lemma to 2273 and 3419, to get

3419 = 2273 x 1 + 1146

Step 3: We consider the new divisor 2273 and the new remainder 1146, and apply the division lemma to get

2273 = 1146 x 1 + 1127

We consider the new divisor 1146 and the new remainder 1127,and apply the division lemma to get

1146 = 1127 x 1 + 19

We consider the new divisor 1127 and the new remainder 19,and apply the division lemma to get

1127 = 19 x 59 + 6

We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get

19 = 6 x 3 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5692 and 3419 is 1

Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(1127,19) = HCF(1146,1127) = HCF(2273,1146) = HCF(3419,2273) = HCF(5692,3419) .

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

Step 1: Since 90017 > 1, we apply the division lemma to 90017 and 1, to get

90017 = 1 x 90017 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90017 is 1

Notice that 1 = HCF(90017,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5692, 3419, 90017 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 5692, 3419, 90017?

Answer: HCF of 5692, 3419, 90017 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5692, 3419, 90017 using Euclid's Algorithm?

Answer: For arbitrary numbers 5692, 3419, 90017 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.