Highest Common Factor of 475, 768, 482 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 475, 768, 482 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 475, 768, 482 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 475, 768, 482 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 475, 768, 482 is 1.

HCF(475, 768, 482) = 1

HCF of 475, 768, 482 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 475, 768, 482 is 1.

Highest Common Factor of 475,768,482 using Euclid's algorithm

Highest Common Factor of 475,768,482 is 1

Step 1: Since 768 > 475, we apply the division lemma to 768 and 475, to get

768 = 475 x 1 + 293

Step 2: Since the reminder 475 ≠ 0, we apply division lemma to 293 and 475, to get

475 = 293 x 1 + 182

Step 3: We consider the new divisor 293 and the new remainder 182, and apply the division lemma to get

293 = 182 x 1 + 111

We consider the new divisor 182 and the new remainder 111,and apply the division lemma to get

182 = 111 x 1 + 71

We consider the new divisor 111 and the new remainder 71,and apply the division lemma to get

111 = 71 x 1 + 40

We consider the new divisor 71 and the new remainder 40,and apply the division lemma to get

71 = 40 x 1 + 31

We consider the new divisor 40 and the new remainder 31,and apply the division lemma to get

40 = 31 x 1 + 9

We consider the new divisor 31 and the new remainder 9,and apply the division lemma to get

31 = 9 x 3 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 475 and 768 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(31,9) = HCF(40,31) = HCF(71,40) = HCF(111,71) = HCF(182,111) = HCF(293,182) = HCF(475,293) = HCF(768,475) .

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

Step 1: Since 482 > 1, we apply the division lemma to 482 and 1, to get

482 = 1 x 482 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 482 is 1

Notice that 1 = HCF(482,1) .

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Frequently Asked Questions on HCF of 475, 768, 482 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 475, 768, 482?

Answer: HCF of 475, 768, 482 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 475, 768, 482 using Euclid's Algorithm?

Answer: For arbitrary numbers 475, 768, 482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.