Highest Common Factor of 479, 772, 990 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 479, 772, 990 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 479, 772, 990 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 479, 772, 990 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 479, 772, 990 is 1.

HCF(479, 772, 990) = 1

HCF of 479, 772, 990 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 479, 772, 990 is 1.

Highest Common Factor of 479,772,990 using Euclid's algorithm

Highest Common Factor of 479,772,990 is 1

Step 1: Since 772 > 479, we apply the division lemma to 772 and 479, to get

772 = 479 x 1 + 293

Step 2: Since the reminder 479 ≠ 0, we apply division lemma to 293 and 479, to get

479 = 293 x 1 + 186

Step 3: We consider the new divisor 293 and the new remainder 186, and apply the division lemma to get

293 = 186 x 1 + 107

We consider the new divisor 186 and the new remainder 107,and apply the division lemma to get

186 = 107 x 1 + 79

We consider the new divisor 107 and the new remainder 79,and apply the division lemma to get

107 = 79 x 1 + 28

We consider the new divisor 79 and the new remainder 28,and apply the division lemma to get

79 = 28 x 2 + 23

We consider the new divisor 28 and the new remainder 23,and apply the division lemma to get

28 = 23 x 1 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

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 479 and 772 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(28,23) = HCF(79,28) = HCF(107,79) = HCF(186,107) = HCF(293,186) = HCF(479,293) = HCF(772,479) .

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

Step 1: Since 990 > 1, we apply the division lemma to 990 and 1, to get

990 = 1 x 990 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 990 is 1

Notice that 1 = HCF(990,1) .

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Frequently Asked Questions on HCF of 479, 772, 990 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 479, 772, 990?

Answer: HCF of 479, 772, 990 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 479, 772, 990 using Euclid's Algorithm?

Answer: For arbitrary numbers 479, 772, 990 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.