Highest Common Factor of 768, 450, 911 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 768, 450, 911 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 768, 450, 911 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 768, 450, 911 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 768, 450, 911 is 1.

HCF(768, 450, 911) = 1

HCF of 768, 450, 911 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 768, 450, 911 is 1.

Highest Common Factor of 768,450,911 using Euclid's algorithm

Highest Common Factor of 768,450,911 is 1

Step 1: Since 768 > 450, we apply the division lemma to 768 and 450, to get

768 = 450 x 1 + 318

Step 2: Since the reminder 450 ≠ 0, we apply division lemma to 318 and 450, to get

450 = 318 x 1 + 132

Step 3: We consider the new divisor 318 and the new remainder 132, and apply the division lemma to get

318 = 132 x 2 + 54

We consider the new divisor 132 and the new remainder 54,and apply the division lemma to get

132 = 54 x 2 + 24

We consider the new divisor 54 and the new remainder 24,and apply the division lemma to get

54 = 24 x 2 + 6

We consider the new divisor 24 and the new remainder 6,and apply the division lemma to get

24 = 6 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 768 and 450 is 6

Notice that 6 = HCF(24,6) = HCF(54,24) = HCF(132,54) = HCF(318,132) = HCF(450,318) = HCF(768,450) .

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

Step 1: Since 911 > 6, we apply the division lemma to 911 and 6, to get

911 = 6 x 151 + 5

Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 5 and 6, to get

6 = 5 x 1 + 1

Step 3: 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 6 and 911 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(911,6) .

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Frequently Asked Questions on HCF of 768, 450, 911 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 768, 450, 911?

Answer: HCF of 768, 450, 911 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 768, 450, 911 using Euclid's Algorithm?

Answer: For arbitrary numbers 768, 450, 911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.