Highest Common Factor of 8519, 3783, 72007 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 8519, 3783, 72007 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8519, 3783, 72007 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 8519, 3783, 72007 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 8519, 3783, 72007 is 1.

HCF(8519, 3783, 72007) = 1

HCF of 8519, 3783, 72007 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 8519, 3783, 72007 is 1.

Highest Common Factor of 8519,3783,72007 using Euclid's algorithm

Highest Common Factor of 8519,3783,72007 is 1

Step 1: Since 8519 > 3783, we apply the division lemma to 8519 and 3783, to get

8519 = 3783 x 2 + 953

Step 2: Since the reminder 3783 ≠ 0, we apply division lemma to 953 and 3783, to get

3783 = 953 x 3 + 924

Step 3: We consider the new divisor 953 and the new remainder 924, and apply the division lemma to get

953 = 924 x 1 + 29

We consider the new divisor 924 and the new remainder 29,and apply the division lemma to get

924 = 29 x 31 + 25

We consider the new divisor 29 and the new remainder 25,and apply the division lemma to get

29 = 25 x 1 + 4

We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get

25 = 4 x 6 + 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 8519 and 3783 is 1

Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(29,25) = HCF(924,29) = HCF(953,924) = HCF(3783,953) = HCF(8519,3783) .

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

Step 1: Since 72007 > 1, we apply the division lemma to 72007 and 1, to get

72007 = 1 x 72007 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72007 is 1

Notice that 1 = HCF(72007,1) .

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Frequently Asked Questions on HCF of 8519, 3783, 72007 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 8519, 3783, 72007?

Answer: HCF of 8519, 3783, 72007 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8519, 3783, 72007 using Euclid's Algorithm?

Answer: For arbitrary numbers 8519, 3783, 72007 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.