Highest Common Factor of 994, 563, 612 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 994, 563, 612 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 994, 563, 612 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 994, 563, 612 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 994, 563, 612 is 1.

HCF(994, 563, 612) = 1

HCF of 994, 563, 612 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 994, 563, 612 is 1.

Highest Common Factor of 994,563,612 using Euclid's algorithm

Highest Common Factor of 994,563,612 is 1

Step 1: Since 994 > 563, we apply the division lemma to 994 and 563, to get

994 = 563 x 1 + 431

Step 2: Since the reminder 563 ≠ 0, we apply division lemma to 431 and 563, to get

563 = 431 x 1 + 132

Step 3: We consider the new divisor 431 and the new remainder 132, and apply the division lemma to get

431 = 132 x 3 + 35

We consider the new divisor 132 and the new remainder 35,and apply the division lemma to get

132 = 35 x 3 + 27

We consider the new divisor 35 and the new remainder 27,and apply the division lemma to get

35 = 27 x 1 + 8

We consider the new divisor 27 and the new remainder 8,and apply the division lemma to get

27 = 8 x 3 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 994 and 563 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(27,8) = HCF(35,27) = HCF(132,35) = HCF(431,132) = HCF(563,431) = HCF(994,563) .

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

Step 1: Since 612 > 1, we apply the division lemma to 612 and 1, to get

612 = 1 x 612 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 612 is 1

Notice that 1 = HCF(612,1) .

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Frequently Asked Questions on HCF of 994, 563, 612 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 994, 563, 612?

Answer: HCF of 994, 563, 612 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 994, 563, 612 using Euclid's Algorithm?

Answer: For arbitrary numbers 994, 563, 612 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.