Highest Common Factor of 568, 894, 187 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 568, 894, 187 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 568, 894, 187 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 568, 894, 187 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 568, 894, 187 is 1.

HCF(568, 894, 187) = 1

HCF of 568, 894, 187 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 568, 894, 187 is 1.

Highest Common Factor of 568,894,187 using Euclid's algorithm

Highest Common Factor of 568,894,187 is 1

Step 1: Since 894 > 568, we apply the division lemma to 894 and 568, to get

894 = 568 x 1 + 326

Step 2: Since the reminder 568 ≠ 0, we apply division lemma to 326 and 568, to get

568 = 326 x 1 + 242

Step 3: We consider the new divisor 326 and the new remainder 242, and apply the division lemma to get

326 = 242 x 1 + 84

We consider the new divisor 242 and the new remainder 84,and apply the division lemma to get

242 = 84 x 2 + 74

We consider the new divisor 84 and the new remainder 74,and apply the division lemma to get

84 = 74 x 1 + 10

We consider the new divisor 74 and the new remainder 10,and apply the division lemma to get

74 = 10 x 7 + 4

We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get

10 = 4 x 2 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 568 and 894 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(74,10) = HCF(84,74) = HCF(242,84) = HCF(326,242) = HCF(568,326) = HCF(894,568) .

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

Step 1: Since 187 > 2, we apply the division lemma to 187 and 2, to get

187 = 2 x 93 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 187 is 1

Notice that 1 = HCF(2,1) = HCF(187,2) .

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Frequently Asked Questions on HCF of 568, 894, 187 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 568, 894, 187?

Answer: HCF of 568, 894, 187 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 568, 894, 187 using Euclid's Algorithm?

Answer: For arbitrary numbers 568, 894, 187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.