Highest Common Factor of 797, 450, 372 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 797, 450, 372 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 797, 450, 372 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 797, 450, 372 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 797, 450, 372 is 1.

HCF(797, 450, 372) = 1

HCF of 797, 450, 372 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 797, 450, 372 is 1.

Highest Common Factor of 797,450,372 using Euclid's algorithm

Highest Common Factor of 797,450,372 is 1

Step 1: Since 797 > 450, we apply the division lemma to 797 and 450, to get

797 = 450 x 1 + 347

Step 2: Since the reminder 450 ≠ 0, we apply division lemma to 347 and 450, to get

450 = 347 x 1 + 103

Step 3: We consider the new divisor 347 and the new remainder 103, and apply the division lemma to get

347 = 103 x 3 + 38

We consider the new divisor 103 and the new remainder 38,and apply the division lemma to get

103 = 38 x 2 + 27

We consider the new divisor 38 and the new remainder 27,and apply the division lemma to get

38 = 27 x 1 + 11

We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get

27 = 11 x 2 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 797 and 450 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(38,27) = HCF(103,38) = HCF(347,103) = HCF(450,347) = HCF(797,450) .

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

Step 1: Since 372 > 1, we apply the division lemma to 372 and 1, to get

372 = 1 x 372 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 372 is 1

Notice that 1 = HCF(372,1) .

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Frequently Asked Questions on HCF of 797, 450, 372 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 797, 450, 372?

Answer: HCF of 797, 450, 372 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 797, 450, 372 using Euclid's Algorithm?

Answer: For arbitrary numbers 797, 450, 372 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.