Highest Common Factor of 3011, 8492 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 3011, 8492 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3011, 8492 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 3011, 8492 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 3011, 8492 is 1.

HCF(3011, 8492) = 1

HCF of 3011, 8492 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 3011, 8492 is 1.

Highest Common Factor of 3011,8492 using Euclid's algorithm

Highest Common Factor of 3011,8492 is 1

Step 1: Since 8492 > 3011, we apply the division lemma to 8492 and 3011, to get

8492 = 3011 x 2 + 2470

Step 2: Since the reminder 3011 ≠ 0, we apply division lemma to 2470 and 3011, to get

3011 = 2470 x 1 + 541

Step 3: We consider the new divisor 2470 and the new remainder 541, and apply the division lemma to get

2470 = 541 x 4 + 306

We consider the new divisor 541 and the new remainder 306,and apply the division lemma to get

541 = 306 x 1 + 235

We consider the new divisor 306 and the new remainder 235,and apply the division lemma to get

306 = 235 x 1 + 71

We consider the new divisor 235 and the new remainder 71,and apply the division lemma to get

235 = 71 x 3 + 22

We consider the new divisor 71 and the new remainder 22,and apply the division lemma to get

71 = 22 x 3 + 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 3011 and 8492 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(71,22) = HCF(235,71) = HCF(306,235) = HCF(541,306) = HCF(2470,541) = HCF(3011,2470) = HCF(8492,3011) .

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Frequently Asked Questions on HCF of 3011, 8492 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 3011, 8492?

Answer: HCF of 3011, 8492 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3011, 8492 using Euclid's Algorithm?

Answer: For arbitrary numbers 3011, 8492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.