Highest Common Factor of 885, 484, 355 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 885, 484, 355 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 885, 484, 355 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 885, 484, 355 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 885, 484, 355 is 1.

HCF(885, 484, 355) = 1

HCF of 885, 484, 355 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 885, 484, 355 is 1.

Highest Common Factor of 885,484,355 using Euclid's algorithm

Highest Common Factor of 885,484,355 is 1

Step 1: Since 885 > 484, we apply the division lemma to 885 and 484, to get

885 = 484 x 1 + 401

Step 2: Since the reminder 484 ≠ 0, we apply division lemma to 401 and 484, to get

484 = 401 x 1 + 83

Step 3: We consider the new divisor 401 and the new remainder 83, and apply the division lemma to get

401 = 83 x 4 + 69

We consider the new divisor 83 and the new remainder 69,and apply the division lemma to get

83 = 69 x 1 + 14

We consider the new divisor 69 and the new remainder 14,and apply the division lemma to get

69 = 14 x 4 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 885 and 484 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(69,14) = HCF(83,69) = HCF(401,83) = HCF(484,401) = HCF(885,484) .

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

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

355 = 1 x 355 + 0

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

Notice that 1 = HCF(355,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 885, 484, 355 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 885, 484, 355?

Answer: HCF of 885, 484, 355 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 885, 484, 355 using Euclid's Algorithm?

Answer: For arbitrary numbers 885, 484, 355 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.