Highest Common Factor of 5783, 7079, 18330 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 5783, 7079, 18330 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5783, 7079, 18330 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 5783, 7079, 18330 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 5783, 7079, 18330 is 1.

HCF(5783, 7079, 18330) = 1

HCF of 5783, 7079, 18330 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 5783, 7079, 18330 is 1.

Highest Common Factor of 5783,7079,18330 using Euclid's algorithm

Highest Common Factor of 5783,7079,18330 is 1

Step 1: Since 7079 > 5783, we apply the division lemma to 7079 and 5783, to get

7079 = 5783 x 1 + 1296

Step 2: Since the reminder 5783 ≠ 0, we apply division lemma to 1296 and 5783, to get

5783 = 1296 x 4 + 599

Step 3: We consider the new divisor 1296 and the new remainder 599, and apply the division lemma to get

1296 = 599 x 2 + 98

We consider the new divisor 599 and the new remainder 98,and apply the division lemma to get

599 = 98 x 6 + 11

We consider the new divisor 98 and the new remainder 11,and apply the division lemma to get

98 = 11 x 8 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5783 and 7079 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(98,11) = HCF(599,98) = HCF(1296,599) = HCF(5783,1296) = HCF(7079,5783) .

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

Step 1: Since 18330 > 1, we apply the division lemma to 18330 and 1, to get

18330 = 1 x 18330 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 18330 is 1

Notice that 1 = HCF(18330,1) .

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Frequently Asked Questions on HCF of 5783, 7079, 18330 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 5783, 7079, 18330?

Answer: HCF of 5783, 7079, 18330 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5783, 7079, 18330 using Euclid's Algorithm?

Answer: For arbitrary numbers 5783, 7079, 18330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.