Highest Common Factor of 744, 950, 817 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 744, 950, 817 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 744, 950, 817 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 744, 950, 817 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 744, 950, 817 is 1.

HCF(744, 950, 817) = 1

HCF of 744, 950, 817 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 744, 950, 817 is 1.

Highest Common Factor of 744,950,817 using Euclid's algorithm

Highest Common Factor of 744,950,817 is 1

Step 1: Since 950 > 744, we apply the division lemma to 950 and 744, to get

950 = 744 x 1 + 206

Step 2: Since the reminder 744 ≠ 0, we apply division lemma to 206 and 744, to get

744 = 206 x 3 + 126

Step 3: We consider the new divisor 206 and the new remainder 126, and apply the division lemma to get

206 = 126 x 1 + 80

We consider the new divisor 126 and the new remainder 80,and apply the division lemma to get

126 = 80 x 1 + 46

We consider the new divisor 80 and the new remainder 46,and apply the division lemma to get

80 = 46 x 1 + 34

We consider the new divisor 46 and the new remainder 34,and apply the division lemma to get

46 = 34 x 1 + 12

We consider the new divisor 34 and the new remainder 12,and apply the division lemma to get

34 = 12 x 2 + 10

We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get

12 = 10 x 1 + 2

We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get

10 = 2 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 744 and 950 is 2

Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(34,12) = HCF(46,34) = HCF(80,46) = HCF(126,80) = HCF(206,126) = HCF(744,206) = HCF(950,744) .

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

Step 1: Since 817 > 2, we apply the division lemma to 817 and 2, to get

817 = 2 x 408 + 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 817 is 1

Notice that 1 = HCF(2,1) = HCF(817,2) .

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Frequently Asked Questions on HCF of 744, 950, 817 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 744, 950, 817?

Answer: HCF of 744, 950, 817 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 744, 950, 817 using Euclid's Algorithm?

Answer: For arbitrary numbers 744, 950, 817 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.