Highest Common Factor of 1273, 3399 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 1273, 3399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1273, 3399 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 1273, 3399 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 1273, 3399 is 1.

HCF(1273, 3399) = 1

HCF of 1273, 3399 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 1273, 3399 is 1.

Highest Common Factor of 1273,3399 using Euclid's algorithm

Highest Common Factor of 1273,3399 is 1

Step 1: Since 3399 > 1273, we apply the division lemma to 3399 and 1273, to get

3399 = 1273 x 2 + 853

Step 2: Since the reminder 1273 ≠ 0, we apply division lemma to 853 and 1273, to get

1273 = 853 x 1 + 420

Step 3: We consider the new divisor 853 and the new remainder 420, and apply the division lemma to get

853 = 420 x 2 + 13

We consider the new divisor 420 and the new remainder 13,and apply the division lemma to get

420 = 13 x 32 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1273 and 3399 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(420,13) = HCF(853,420) = HCF(1273,853) = HCF(3399,1273) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 1273, 3399 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 1273, 3399?

Answer: HCF of 1273, 3399 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1273, 3399 using Euclid's Algorithm?

Answer: For arbitrary numbers 1273, 3399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.