Highest Common Factor of 2471, 6990 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 2471, 6990 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2471, 6990 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 2471, 6990 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 2471, 6990 is 1.

HCF(2471, 6990) = 1

HCF of 2471, 6990 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 2471, 6990 is 1.

Highest Common Factor of 2471,6990 using Euclid's algorithm

Highest Common Factor of 2471,6990 is 1

Step 1: Since 6990 > 2471, we apply the division lemma to 6990 and 2471, to get

6990 = 2471 x 2 + 2048

Step 2: Since the reminder 2471 ≠ 0, we apply division lemma to 2048 and 2471, to get

2471 = 2048 x 1 + 423

Step 3: We consider the new divisor 2048 and the new remainder 423, and apply the division lemma to get

2048 = 423 x 4 + 356

We consider the new divisor 423 and the new remainder 356,and apply the division lemma to get

423 = 356 x 1 + 67

We consider the new divisor 356 and the new remainder 67,and apply the division lemma to get

356 = 67 x 5 + 21

We consider the new divisor 67 and the new remainder 21,and apply the division lemma to get

67 = 21 x 3 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2471 and 6990 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(67,21) = HCF(356,67) = HCF(423,356) = HCF(2048,423) = HCF(2471,2048) = HCF(6990,2471) .

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Frequently Asked Questions on HCF of 2471, 6990 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 2471, 6990?

Answer: HCF of 2471, 6990 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2471, 6990 using Euclid's Algorithm?

Answer: For arbitrary numbers 2471, 6990 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.