Highest Common Factor of 7319, 2819 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 7319, 2819 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7319, 2819 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 7319, 2819 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 7319, 2819 is 1.

HCF(7319, 2819) = 1

HCF of 7319, 2819 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 7319, 2819 is 1.

Highest Common Factor of 7319,2819 using Euclid's algorithm

Highest Common Factor of 7319,2819 is 1

Step 1: Since 7319 > 2819, we apply the division lemma to 7319 and 2819, to get

7319 = 2819 x 2 + 1681

Step 2: Since the reminder 2819 ≠ 0, we apply division lemma to 1681 and 2819, to get

2819 = 1681 x 1 + 1138

Step 3: We consider the new divisor 1681 and the new remainder 1138, and apply the division lemma to get

1681 = 1138 x 1 + 543

We consider the new divisor 1138 and the new remainder 543,and apply the division lemma to get

1138 = 543 x 2 + 52

We consider the new divisor 543 and the new remainder 52,and apply the division lemma to get

543 = 52 x 10 + 23

We consider the new divisor 52 and the new remainder 23,and apply the division lemma to get

52 = 23 x 2 + 6

We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get

23 = 6 x 3 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7319 and 2819 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(52,23) = HCF(543,52) = HCF(1138,543) = HCF(1681,1138) = HCF(2819,1681) = HCF(7319,2819) .

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Frequently Asked Questions on HCF of 7319, 2819 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 7319, 2819?

Answer: HCF of 7319, 2819 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7319, 2819 using Euclid's Algorithm?

Answer: For arbitrary numbers 7319, 2819 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.