Highest Common Factor of 2990, 4163, 62301 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 2990, 4163, 62301 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2990, 4163, 62301 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 2990, 4163, 62301 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 2990, 4163, 62301 is 1.

HCF(2990, 4163, 62301) = 1

HCF of 2990, 4163, 62301 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 2990, 4163, 62301 is 1.

Highest Common Factor of 2990,4163,62301 using Euclid's algorithm

Highest Common Factor of 2990,4163,62301 is 1

Step 1: Since 4163 > 2990, we apply the division lemma to 4163 and 2990, to get

4163 = 2990 x 1 + 1173

Step 2: Since the reminder 2990 ≠ 0, we apply division lemma to 1173 and 2990, to get

2990 = 1173 x 2 + 644

Step 3: We consider the new divisor 1173 and the new remainder 644, and apply the division lemma to get

1173 = 644 x 1 + 529

We consider the new divisor 644 and the new remainder 529,and apply the division lemma to get

644 = 529 x 1 + 115

We consider the new divisor 529 and the new remainder 115,and apply the division lemma to get

529 = 115 x 4 + 69

We consider the new divisor 115 and the new remainder 69,and apply the division lemma to get

115 = 69 x 1 + 46

We consider the new divisor 69 and the new remainder 46,and apply the division lemma to get

69 = 46 x 1 + 23

We consider the new divisor 46 and the new remainder 23,and apply the division lemma to get

46 = 23 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 2990 and 4163 is 23

Notice that 23 = HCF(46,23) = HCF(69,46) = HCF(115,69) = HCF(529,115) = HCF(644,529) = HCF(1173,644) = HCF(2990,1173) = HCF(4163,2990) .

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

Step 1: Since 62301 > 23, we apply the division lemma to 62301 and 23, to get

62301 = 23 x 2708 + 17

Step 2: Since the reminder 23 ≠ 0, we apply division lemma to 17 and 23, to get

23 = 17 x 1 + 6

Step 3: We consider the new divisor 17 and the new remainder 6, and apply the division lemma to get

17 = 6 x 2 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

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 23 and 62301 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(23,17) = HCF(62301,23) .

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Frequently Asked Questions on HCF of 2990, 4163, 62301 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 2990, 4163, 62301?

Answer: HCF of 2990, 4163, 62301 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2990, 4163, 62301 using Euclid's Algorithm?

Answer: For arbitrary numbers 2990, 4163, 62301 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.