Highest Common Factor of 568, 797, 250 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, 797, 250 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 568, 797, 250 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, 797, 250 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, 797, 250 is 1.

HCF(568, 797, 250) = 1

HCF of 568, 797, 250 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, 797, 250 is 1.

Highest Common Factor of 568,797,250 using Euclid's algorithm

Highest Common Factor of 568,797,250 is 1

Step 1: Since 797 > 568, we apply the division lemma to 797 and 568, to get

797 = 568 x 1 + 229

Step 2: Since the reminder 568 ≠ 0, we apply division lemma to 229 and 568, to get

568 = 229 x 2 + 110

Step 3: We consider the new divisor 229 and the new remainder 110, and apply the division lemma to get

229 = 110 x 2 + 9

We consider the new divisor 110 and the new remainder 9,and apply the division lemma to get

110 = 9 x 12 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 568 and 797 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(110,9) = HCF(229,110) = HCF(568,229) = HCF(797,568) .

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

Step 1: Since 250 > 1, we apply the division lemma to 250 and 1, to get

250 = 1 x 250 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 250 is 1

Notice that 1 = HCF(250,1) .

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Frequently Asked Questions on HCF of 568, 797, 250 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, 797, 250?

Answer: HCF of 568, 797, 250 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 568, 797, 250 using Euclid's Algorithm?

Answer: For arbitrary numbers 568, 797, 250 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.