Highest Common Factor of 2826, 9839, 43225 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 2826, 9839, 43225 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2826, 9839, 43225 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 2826, 9839, 43225 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 2826, 9839, 43225 is 1.

HCF(2826, 9839, 43225) = 1

HCF of 2826, 9839, 43225 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 2826, 9839, 43225 is 1.

Highest Common Factor of 2826,9839,43225 using Euclid's algorithm

Highest Common Factor of 2826,9839,43225 is 1

Step 1: Since 9839 > 2826, we apply the division lemma to 9839 and 2826, to get

9839 = 2826 x 3 + 1361

Step 2: Since the reminder 2826 ≠ 0, we apply division lemma to 1361 and 2826, to get

2826 = 1361 x 2 + 104

Step 3: We consider the new divisor 1361 and the new remainder 104, and apply the division lemma to get

1361 = 104 x 13 + 9

We consider the new divisor 104 and the new remainder 9,and apply the division lemma to get

104 = 9 x 11 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 2826 and 9839 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(104,9) = HCF(1361,104) = HCF(2826,1361) = HCF(9839,2826) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 43225 > 1, we apply the division lemma to 43225 and 1, to get

43225 = 1 x 43225 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43225 is 1

Notice that 1 = HCF(43225,1) .

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Frequently Asked Questions on HCF of 2826, 9839, 43225 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 2826, 9839, 43225?

Answer: HCF of 2826, 9839, 43225 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2826, 9839, 43225 using Euclid's Algorithm?

Answer: For arbitrary numbers 2826, 9839, 43225 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.