Highest Common Factor of 355, 547, 713 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 355, 547, 713 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 355, 547, 713 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 355, 547, 713 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 355, 547, 713 is 1.

HCF(355, 547, 713) = 1

HCF of 355, 547, 713 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 355, 547, 713 is 1.

Highest Common Factor of 355,547,713 using Euclid's algorithm

Highest Common Factor of 355,547,713 is 1

Step 1: Since 547 > 355, we apply the division lemma to 547 and 355, to get

547 = 355 x 1 + 192

Step 2: Since the reminder 355 ≠ 0, we apply division lemma to 192 and 355, to get

355 = 192 x 1 + 163

Step 3: We consider the new divisor 192 and the new remainder 163, and apply the division lemma to get

192 = 163 x 1 + 29

We consider the new divisor 163 and the new remainder 29,and apply the division lemma to get

163 = 29 x 5 + 18

We consider the new divisor 29 and the new remainder 18,and apply the division lemma to get

29 = 18 x 1 + 11

We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get

18 = 11 x 1 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 355 and 547 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(29,18) = HCF(163,29) = HCF(192,163) = HCF(355,192) = HCF(547,355) .

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

Step 1: Since 713 > 1, we apply the division lemma to 713 and 1, to get

713 = 1 x 713 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 713 is 1

Notice that 1 = HCF(713,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 355, 547, 713 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 355, 547, 713?

Answer: HCF of 355, 547, 713 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 355, 547, 713 using Euclid's Algorithm?

Answer: For arbitrary numbers 355, 547, 713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.