Highest Common Factor of 1790, 2824 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 1790, 2824 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 1790, 2824 is 2 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 1790, 2824 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 1790, 2824 is 2.

HCF(1790, 2824) = 2

HCF of 1790, 2824 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 1790, 2824 is 2.

Highest Common Factor of 1790,2824 using Euclid's algorithm

Highest Common Factor of 1790,2824 is 2

Step 1: Since 2824 > 1790, we apply the division lemma to 2824 and 1790, to get

2824 = 1790 x 1 + 1034

Step 2: Since the reminder 1790 ≠ 0, we apply division lemma to 1034 and 1790, to get

1790 = 1034 x 1 + 756

Step 3: We consider the new divisor 1034 and the new remainder 756, and apply the division lemma to get

1034 = 756 x 1 + 278

We consider the new divisor 756 and the new remainder 278,and apply the division lemma to get

756 = 278 x 2 + 200

We consider the new divisor 278 and the new remainder 200,and apply the division lemma to get

278 = 200 x 1 + 78

We consider the new divisor 200 and the new remainder 78,and apply the division lemma to get

200 = 78 x 2 + 44

We consider the new divisor 78 and the new remainder 44,and apply the division lemma to get

78 = 44 x 1 + 34

We consider the new divisor 44 and the new remainder 34,and apply the division lemma to get

44 = 34 x 1 + 10

We consider the new divisor 34 and the new remainder 10,and apply the division lemma to get

34 = 10 x 3 + 4

We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get

10 = 4 x 2 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1790 and 2824 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(34,10) = HCF(44,34) = HCF(78,44) = HCF(200,78) = HCF(278,200) = HCF(756,278) = HCF(1034,756) = HCF(1790,1034) = HCF(2824,1790) .

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Frequently Asked Questions on HCF of 1790, 2824 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 1790, 2824?

Answer: HCF of 1790, 2824 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1790, 2824 using Euclid's Algorithm?

Answer: For arbitrary numbers 1790, 2824 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.