Highest Common Factor of 611, 367, 450 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 611, 367, 450 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 611, 367, 450 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 611, 367, 450 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 611, 367, 450 is 1.

HCF(611, 367, 450) = 1

HCF of 611, 367, 450 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 611, 367, 450 is 1.

Highest Common Factor of 611,367,450 using Euclid's algorithm

Highest Common Factor of 611,367,450 is 1

Step 1: Since 611 > 367, we apply the division lemma to 611 and 367, to get

611 = 367 x 1 + 244

Step 2: Since the reminder 367 ≠ 0, we apply division lemma to 244 and 367, to get

367 = 244 x 1 + 123

Step 3: We consider the new divisor 244 and the new remainder 123, and apply the division lemma to get

244 = 123 x 1 + 121

We consider the new divisor 123 and the new remainder 121,and apply the division lemma to get

123 = 121 x 1 + 2

We consider the new divisor 121 and the new remainder 2,and apply the division lemma to get

121 = 2 x 60 + 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 611 and 367 is 1

Notice that 1 = HCF(2,1) = HCF(121,2) = HCF(123,121) = HCF(244,123) = HCF(367,244) = HCF(611,367) .

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

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

450 = 1 x 450 + 0

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

Notice that 1 = HCF(450,1) .

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Frequently Asked Questions on HCF of 611, 367, 450 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 611, 367, 450?

Answer: HCF of 611, 367, 450 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 611, 367, 450 using Euclid's Algorithm?

Answer: For arbitrary numbers 611, 367, 450 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.