Highest Common Factor of 9040, 3822 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 9040, 3822 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 9040, 3822 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 9040, 3822 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 9040, 3822 is 2.

HCF(9040, 3822) = 2

HCF of 9040, 3822 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 9040, 3822 is 2.

Highest Common Factor of 9040,3822 using Euclid's algorithm

Highest Common Factor of 9040,3822 is 2

Step 1: Since 9040 > 3822, we apply the division lemma to 9040 and 3822, to get

9040 = 3822 x 2 + 1396

Step 2: Since the reminder 3822 ≠ 0, we apply division lemma to 1396 and 3822, to get

3822 = 1396 x 2 + 1030

Step 3: We consider the new divisor 1396 and the new remainder 1030, and apply the division lemma to get

1396 = 1030 x 1 + 366

We consider the new divisor 1030 and the new remainder 366,and apply the division lemma to get

1030 = 366 x 2 + 298

We consider the new divisor 366 and the new remainder 298,and apply the division lemma to get

366 = 298 x 1 + 68

We consider the new divisor 298 and the new remainder 68,and apply the division lemma to get

298 = 68 x 4 + 26

We consider the new divisor 68 and the new remainder 26,and apply the division lemma to get

68 = 26 x 2 + 16

We consider the new divisor 26 and the new remainder 16,and apply the division lemma to get

26 = 16 x 1 + 10

We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get

16 = 10 x 1 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 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 9040 and 3822 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(26,16) = HCF(68,26) = HCF(298,68) = HCF(366,298) = HCF(1030,366) = HCF(1396,1030) = HCF(3822,1396) = HCF(9040,3822) .

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Frequently Asked Questions on HCF of 9040, 3822 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 9040, 3822?

Answer: HCF of 9040, 3822 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9040, 3822 using Euclid's Algorithm?

Answer: For arbitrary numbers 9040, 3822 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.