Highest Common Factor of 887, 575, 554 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 887, 575, 554 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 887, 575, 554 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 887, 575, 554 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 887, 575, 554 is 1.

HCF(887, 575, 554) = 1

HCF of 887, 575, 554 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 887, 575, 554 is 1.

Highest Common Factor of 887,575,554 using Euclid's algorithm

Highest Common Factor of 887,575,554 is 1

Step 1: Since 887 > 575, we apply the division lemma to 887 and 575, to get

887 = 575 x 1 + 312

Step 2: Since the reminder 575 ≠ 0, we apply division lemma to 312 and 575, to get

575 = 312 x 1 + 263

Step 3: We consider the new divisor 312 and the new remainder 263, and apply the division lemma to get

312 = 263 x 1 + 49

We consider the new divisor 263 and the new remainder 49,and apply the division lemma to get

263 = 49 x 5 + 18

We consider the new divisor 49 and the new remainder 18,and apply the division lemma to get

49 = 18 x 2 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

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

3 = 2 x 1 + 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 887 and 575 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(49,18) = HCF(263,49) = HCF(312,263) = HCF(575,312) = HCF(887,575) .

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

Step 1: Since 554 > 1, we apply the division lemma to 554 and 1, to get

554 = 1 x 554 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 554 is 1

Notice that 1 = HCF(554,1) .

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Frequently Asked Questions on HCF of 887, 575, 554 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 887, 575, 554?

Answer: HCF of 887, 575, 554 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 887, 575, 554 using Euclid's Algorithm?

Answer: For arbitrary numbers 887, 575, 554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.