Highest Common Factor of 2995, 3304, 81574 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 2995, 3304, 81574 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2995, 3304, 81574 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 2995, 3304, 81574 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 2995, 3304, 81574 is 1.

HCF(2995, 3304, 81574) = 1

HCF of 2995, 3304, 81574 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 2995, 3304, 81574 is 1.

Highest Common Factor of 2995,3304,81574 using Euclid's algorithm

Highest Common Factor of 2995,3304,81574 is 1

Step 1: Since 3304 > 2995, we apply the division lemma to 3304 and 2995, to get

3304 = 2995 x 1 + 309

Step 2: Since the reminder 2995 ≠ 0, we apply division lemma to 309 and 2995, to get

2995 = 309 x 9 + 214

Step 3: We consider the new divisor 309 and the new remainder 214, and apply the division lemma to get

309 = 214 x 1 + 95

We consider the new divisor 214 and the new remainder 95,and apply the division lemma to get

214 = 95 x 2 + 24

We consider the new divisor 95 and the new remainder 24,and apply the division lemma to get

95 = 24 x 3 + 23

We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get

24 = 23 x 1 + 1

We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get

23 = 1 x 23 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2995 and 3304 is 1

Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(95,24) = HCF(214,95) = HCF(309,214) = HCF(2995,309) = HCF(3304,2995) .

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

Step 1: Since 81574 > 1, we apply the division lemma to 81574 and 1, to get

81574 = 1 x 81574 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81574 is 1

Notice that 1 = HCF(81574,1) .

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Frequently Asked Questions on HCF of 2995, 3304, 81574 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 2995, 3304, 81574?

Answer: HCF of 2995, 3304, 81574 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2995, 3304, 81574 using Euclid's Algorithm?

Answer: For arbitrary numbers 2995, 3304, 81574 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.