Highest Common Factor of 485, 755, 423 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 485, 755, 423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 485, 755, 423 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 485, 755, 423 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 485, 755, 423 is 1.

HCF(485, 755, 423) = 1

HCF of 485, 755, 423 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 485, 755, 423 is 1.

Highest Common Factor of 485,755,423 using Euclid's algorithm

Highest Common Factor of 485,755,423 is 1

Step 1: Since 755 > 485, we apply the division lemma to 755 and 485, to get

755 = 485 x 1 + 270

Step 2: Since the reminder 485 ≠ 0, we apply division lemma to 270 and 485, to get

485 = 270 x 1 + 215

Step 3: We consider the new divisor 270 and the new remainder 215, and apply the division lemma to get

270 = 215 x 1 + 55

We consider the new divisor 215 and the new remainder 55,and apply the division lemma to get

215 = 55 x 3 + 50

We consider the new divisor 55 and the new remainder 50,and apply the division lemma to get

55 = 50 x 1 + 5

We consider the new divisor 50 and the new remainder 5,and apply the division lemma to get

50 = 5 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 485 and 755 is 5

Notice that 5 = HCF(50,5) = HCF(55,50) = HCF(215,55) = HCF(270,215) = HCF(485,270) = HCF(755,485) .

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

Step 1: Since 423 > 5, we apply the division lemma to 423 and 5, to get

423 = 5 x 84 + 3

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get

5 = 3 x 1 + 2

Step 3: 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 5 and 423 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(423,5) .

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Frequently Asked Questions on HCF of 485, 755, 423 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 485, 755, 423?

Answer: HCF of 485, 755, 423 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 485, 755, 423 using Euclid's Algorithm?

Answer: For arbitrary numbers 485, 755, 423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.