Highest Common Factor of 2095, 3064 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 2095, 3064 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2095, 3064 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 2095, 3064 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 2095, 3064 is 1.

HCF(2095, 3064) = 1

HCF of 2095, 3064 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 2095, 3064 is 1.

Highest Common Factor of 2095,3064 using Euclid's algorithm

Highest Common Factor of 2095,3064 is 1

Step 1: Since 3064 > 2095, we apply the division lemma to 3064 and 2095, to get

3064 = 2095 x 1 + 969

Step 2: Since the reminder 2095 ≠ 0, we apply division lemma to 969 and 2095, to get

2095 = 969 x 2 + 157

Step 3: We consider the new divisor 969 and the new remainder 157, and apply the division lemma to get

969 = 157 x 6 + 27

We consider the new divisor 157 and the new remainder 27,and apply the division lemma to get

157 = 27 x 5 + 22

We consider the new divisor 27 and the new remainder 22,and apply the division lemma to get

27 = 22 x 1 + 5

We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get

22 = 5 x 4 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 2095 and 3064 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(27,22) = HCF(157,27) = HCF(969,157) = HCF(2095,969) = HCF(3064,2095) .

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Frequently Asked Questions on HCF of 2095, 3064 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 2095, 3064?

Answer: HCF of 2095, 3064 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2095, 3064 using Euclid's Algorithm?

Answer: For arbitrary numbers 2095, 3064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.