Highest Common Factor of 2831, 2065 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 2831, 2065 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2831, 2065 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 2831, 2065 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 2831, 2065 is 1.

HCF(2831, 2065) = 1

HCF of 2831, 2065 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 2831, 2065 is 1.

Highest Common Factor of 2831,2065 using Euclid's algorithm

Highest Common Factor of 2831,2065 is 1

Step 1: Since 2831 > 2065, we apply the division lemma to 2831 and 2065, to get

2831 = 2065 x 1 + 766

Step 2: Since the reminder 2065 ≠ 0, we apply division lemma to 766 and 2065, to get

2065 = 766 x 2 + 533

Step 3: We consider the new divisor 766 and the new remainder 533, and apply the division lemma to get

766 = 533 x 1 + 233

We consider the new divisor 533 and the new remainder 233,and apply the division lemma to get

533 = 233 x 2 + 67

We consider the new divisor 233 and the new remainder 67,and apply the division lemma to get

233 = 67 x 3 + 32

We consider the new divisor 67 and the new remainder 32,and apply the division lemma to get

67 = 32 x 2 + 3

We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get

32 = 3 x 10 + 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 2831 and 2065 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(67,32) = HCF(233,67) = HCF(533,233) = HCF(766,533) = HCF(2065,766) = HCF(2831,2065) .

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Frequently Asked Questions on HCF of 2831, 2065 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 2831, 2065?

Answer: HCF of 2831, 2065 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2831, 2065 using Euclid's Algorithm?

Answer: For arbitrary numbers 2831, 2065 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.