Highest Common Factor of 885, 506, 405 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, 506, 405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 885, 506, 405 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, 506, 405 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, 506, 405 is 1.

HCF(885, 506, 405) = 1

HCF of 885, 506, 405 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, 506, 405 is 1.

Highest Common Factor of 885,506,405 using Euclid's algorithm

Highest Common Factor of 885,506,405 is 1

Step 1: Since 885 > 506, we apply the division lemma to 885 and 506, to get

885 = 506 x 1 + 379

Step 2: Since the reminder 506 ≠ 0, we apply division lemma to 379 and 506, to get

506 = 379 x 1 + 127

Step 3: We consider the new divisor 379 and the new remainder 127, and apply the division lemma to get

379 = 127 x 2 + 125

We consider the new divisor 127 and the new remainder 125,and apply the division lemma to get

127 = 125 x 1 + 2

We consider the new divisor 125 and the new remainder 2,and apply the division lemma to get

125 = 2 x 62 + 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 885 and 506 is 1

Notice that 1 = HCF(2,1) = HCF(125,2) = HCF(127,125) = HCF(379,127) = HCF(506,379) = HCF(885,506) .

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

Step 1: Since 405 > 1, we apply the division lemma to 405 and 1, to get

405 = 1 x 405 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 405 is 1

Notice that 1 = HCF(405,1) .

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Frequently Asked Questions on HCF of 885, 506, 405 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, 506, 405?

Answer: HCF of 885, 506, 405 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 885, 506, 405 using Euclid's Algorithm?

Answer: For arbitrary numbers 885, 506, 405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.