Highest Common Factor of 729, 295, 318 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 729, 295, 318 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 729, 295, 318 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 729, 295, 318 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 729, 295, 318 is 1.

HCF(729, 295, 318) = 1

HCF of 729, 295, 318 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 729, 295, 318 is 1.

Highest Common Factor of 729,295,318 using Euclid's algorithm

Highest Common Factor of 729,295,318 is 1

Step 1: Since 729 > 295, we apply the division lemma to 729 and 295, to get

729 = 295 x 2 + 139

Step 2: Since the reminder 295 ≠ 0, we apply division lemma to 139 and 295, to get

295 = 139 x 2 + 17

Step 3: We consider the new divisor 139 and the new remainder 17, and apply the division lemma to get

139 = 17 x 8 + 3

We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get

17 = 3 x 5 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 729 and 295 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(139,17) = HCF(295,139) = HCF(729,295) .

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

Step 1: Since 318 > 1, we apply the division lemma to 318 and 1, to get

318 = 1 x 318 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 318 is 1

Notice that 1 = HCF(318,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 729, 295, 318 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 729, 295, 318?

Answer: HCF of 729, 295, 318 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 729, 295, 318 using Euclid's Algorithm?

Answer: For arbitrary numbers 729, 295, 318 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.