Highest Common Factor of 572, 923, 694 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 572, 923, 694 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 572, 923, 694 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 572, 923, 694 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 572, 923, 694 is 1.

HCF(572, 923, 694) = 1

HCF of 572, 923, 694 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 572, 923, 694 is 1.

Highest Common Factor of 572,923,694 using Euclid's algorithm

Highest Common Factor of 572,923,694 is 1

Step 1: Since 923 > 572, we apply the division lemma to 923 and 572, to get

923 = 572 x 1 + 351

Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 351 and 572, to get

572 = 351 x 1 + 221

Step 3: We consider the new divisor 351 and the new remainder 221, and apply the division lemma to get

351 = 221 x 1 + 130

We consider the new divisor 221 and the new remainder 130,and apply the division lemma to get

221 = 130 x 1 + 91

We consider the new divisor 130 and the new remainder 91,and apply the division lemma to get

130 = 91 x 1 + 39

We consider the new divisor 91 and the new remainder 39,and apply the division lemma to get

91 = 39 x 2 + 13

We consider the new divisor 39 and the new remainder 13,and apply the division lemma to get

39 = 13 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 572 and 923 is 13

Notice that 13 = HCF(39,13) = HCF(91,39) = HCF(130,91) = HCF(221,130) = HCF(351,221) = HCF(572,351) = HCF(923,572) .

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

Step 1: Since 694 > 13, we apply the division lemma to 694 and 13, to get

694 = 13 x 53 + 5

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 5 and 13, to get

13 = 5 x 2 + 3

Step 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 13 and 694 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(694,13) .

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Frequently Asked Questions on HCF of 572, 923, 694 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 572, 923, 694?

Answer: HCF of 572, 923, 694 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 572, 923, 694 using Euclid's Algorithm?

Answer: For arbitrary numbers 572, 923, 694 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.