Highest Common Factor of 885, 517, 438 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, 517, 438 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 885, 517, 438 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, 517, 438 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, 517, 438 is 1.

HCF(885, 517, 438) = 1

HCF of 885, 517, 438 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, 517, 438 is 1.

Highest Common Factor of 885,517,438 using Euclid's algorithm

Highest Common Factor of 885,517,438 is 1

Step 1: Since 885 > 517, we apply the division lemma to 885 and 517, to get

885 = 517 x 1 + 368

Step 2: Since the reminder 517 ≠ 0, we apply division lemma to 368 and 517, to get

517 = 368 x 1 + 149

Step 3: We consider the new divisor 368 and the new remainder 149, and apply the division lemma to get

368 = 149 x 2 + 70

We consider the new divisor 149 and the new remainder 70,and apply the division lemma to get

149 = 70 x 2 + 9

We consider the new divisor 70 and the new remainder 9,and apply the division lemma to get

70 = 9 x 7 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 517 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(70,9) = HCF(149,70) = HCF(368,149) = HCF(517,368) = HCF(885,517) .

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

Step 1: Since 438 > 1, we apply the division lemma to 438 and 1, to get

438 = 1 x 438 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 438 is 1

Notice that 1 = HCF(438,1) .

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Frequently Asked Questions on HCF of 885, 517, 438 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, 517, 438?

Answer: HCF of 885, 517, 438 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 885, 517, 438 using Euclid's Algorithm?

Answer: For arbitrary numbers 885, 517, 438 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.