Highest Common Factor of 2819, 8298, 44609 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 2819, 8298, 44609 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2819, 8298, 44609 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 2819, 8298, 44609 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 2819, 8298, 44609 is 1.

HCF(2819, 8298, 44609) = 1

HCF of 2819, 8298, 44609 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 2819, 8298, 44609 is 1.

Highest Common Factor of 2819,8298,44609 using Euclid's algorithm

Highest Common Factor of 2819,8298,44609 is 1

Step 1: Since 8298 > 2819, we apply the division lemma to 8298 and 2819, to get

8298 = 2819 x 2 + 2660

Step 2: Since the reminder 2819 ≠ 0, we apply division lemma to 2660 and 2819, to get

2819 = 2660 x 1 + 159

Step 3: We consider the new divisor 2660 and the new remainder 159, and apply the division lemma to get

2660 = 159 x 16 + 116

We consider the new divisor 159 and the new remainder 116,and apply the division lemma to get

159 = 116 x 1 + 43

We consider the new divisor 116 and the new remainder 43,and apply the division lemma to get

116 = 43 x 2 + 30

We consider the new divisor 43 and the new remainder 30,and apply the division lemma to get

43 = 30 x 1 + 13

We consider the new divisor 30 and the new remainder 13,and apply the division lemma to get

30 = 13 x 2 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 2819 and 8298 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(30,13) = HCF(43,30) = HCF(116,43) = HCF(159,116) = HCF(2660,159) = HCF(2819,2660) = HCF(8298,2819) .

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

Step 1: Since 44609 > 1, we apply the division lemma to 44609 and 1, to get

44609 = 1 x 44609 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44609 is 1

Notice that 1 = HCF(44609,1) .

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Frequently Asked Questions on HCF of 2819, 8298, 44609 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 2819, 8298, 44609?

Answer: HCF of 2819, 8298, 44609 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2819, 8298, 44609 using Euclid's Algorithm?

Answer: For arbitrary numbers 2819, 8298, 44609 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.