Highest Common Factor of 564, 893, 173 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 564, 893, 173 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 564, 893, 173 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 564, 893, 173 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 564, 893, 173 is 1.

HCF(564, 893, 173) = 1

HCF of 564, 893, 173 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 564, 893, 173 is 1.

Highest Common Factor of 564,893,173 using Euclid's algorithm

Highest Common Factor of 564,893,173 is 1

Step 1: Since 893 > 564, we apply the division lemma to 893 and 564, to get

893 = 564 x 1 + 329

Step 2: Since the reminder 564 ≠ 0, we apply division lemma to 329 and 564, to get

564 = 329 x 1 + 235

Step 3: We consider the new divisor 329 and the new remainder 235, and apply the division lemma to get

329 = 235 x 1 + 94

We consider the new divisor 235 and the new remainder 94,and apply the division lemma to get

235 = 94 x 2 + 47

We consider the new divisor 94 and the new remainder 47,and apply the division lemma to get

94 = 47 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 47, the HCF of 564 and 893 is 47

Notice that 47 = HCF(94,47) = HCF(235,94) = HCF(329,235) = HCF(564,329) = HCF(893,564) .

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

Step 1: Since 173 > 47, we apply the division lemma to 173 and 47, to get

173 = 47 x 3 + 32

Step 2: Since the reminder 47 ≠ 0, we apply division lemma to 32 and 47, to get

47 = 32 x 1 + 15

Step 3: We consider the new divisor 32 and the new remainder 15, and apply the division lemma to get

32 = 15 x 2 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 47 and 173 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(47,32) = HCF(173,47) .

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Frequently Asked Questions on HCF of 564, 893, 173 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 564, 893, 173?

Answer: HCF of 564, 893, 173 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 564, 893, 173 using Euclid's Algorithm?

Answer: For arbitrary numbers 564, 893, 173 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.