Highest Common Factor of 885, 435, 613 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, 435, 613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 885, 435, 613 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, 435, 613 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, 435, 613 is 1.

HCF(885, 435, 613) = 1

HCF of 885, 435, 613 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, 435, 613 is 1.

Highest Common Factor of 885,435,613 using Euclid's algorithm

Highest Common Factor of 885,435,613 is 1

Step 1: Since 885 > 435, we apply the division lemma to 885 and 435, to get

885 = 435 x 2 + 15

Step 2: Since the reminder 435 ≠ 0, we apply division lemma to 15 and 435, to get

435 = 15 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 885 and 435 is 15

Notice that 15 = HCF(435,15) = HCF(885,435) .

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

Step 1: Since 613 > 15, we apply the division lemma to 613 and 15, to get

613 = 15 x 40 + 13

Step 2: Since the reminder 15 ≠ 0, we apply division lemma to 13 and 15, to get

15 = 13 x 1 + 2

Step 3: We consider the new divisor 13 and the new remainder 2, and apply the division lemma to get

13 = 2 x 6 + 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 15 and 613 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(613,15) .

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Frequently Asked Questions on HCF of 885, 435, 613 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, 435, 613?

Answer: HCF of 885, 435, 613 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 885, 435, 613 using Euclid's Algorithm?

Answer: For arbitrary numbers 885, 435, 613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.