Highest Common Factor of 339, 392, 363 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 339, 392, 363 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 339, 392, 363 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 339, 392, 363 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 339, 392, 363 is 1.

HCF(339, 392, 363) = 1

HCF of 339, 392, 363 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 339, 392, 363 is 1.

Highest Common Factor of 339,392,363 using Euclid's algorithm

Highest Common Factor of 339,392,363 is 1

Step 1: Since 392 > 339, we apply the division lemma to 392 and 339, to get

392 = 339 x 1 + 53

Step 2: Since the reminder 339 ≠ 0, we apply division lemma to 53 and 339, to get

339 = 53 x 6 + 21

Step 3: We consider the new divisor 53 and the new remainder 21, and apply the division lemma to get

53 = 21 x 2 + 11

We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get

21 = 11 x 1 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 339 and 392 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(53,21) = HCF(339,53) = HCF(392,339) .

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

Step 1: Since 363 > 1, we apply the division lemma to 363 and 1, to get

363 = 1 x 363 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 363 is 1

Notice that 1 = HCF(363,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 339, 392, 363 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 339, 392, 363?

Answer: HCF of 339, 392, 363 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 339, 392, 363 using Euclid's Algorithm?

Answer: For arbitrary numbers 339, 392, 363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.