Highest Common Factor of 3784, 7291, 52207 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 3784, 7291, 52207 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3784, 7291, 52207 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 3784, 7291, 52207 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 3784, 7291, 52207 is 1.

HCF(3784, 7291, 52207) = 1

HCF of 3784, 7291, 52207 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 3784, 7291, 52207 is 1.

Highest Common Factor of 3784,7291,52207 using Euclid's algorithm

Highest Common Factor of 3784,7291,52207 is 1

Step 1: Since 7291 > 3784, we apply the division lemma to 7291 and 3784, to get

7291 = 3784 x 1 + 3507

Step 2: Since the reminder 3784 ≠ 0, we apply division lemma to 3507 and 3784, to get

3784 = 3507 x 1 + 277

Step 3: We consider the new divisor 3507 and the new remainder 277, and apply the division lemma to get

3507 = 277 x 12 + 183

We consider the new divisor 277 and the new remainder 183,and apply the division lemma to get

277 = 183 x 1 + 94

We consider the new divisor 183 and the new remainder 94,and apply the division lemma to get

183 = 94 x 1 + 89

We consider the new divisor 94 and the new remainder 89,and apply the division lemma to get

94 = 89 x 1 + 5

We consider the new divisor 89 and the new remainder 5,and apply the division lemma to get

89 = 5 x 17 + 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 3784 and 7291 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(89,5) = HCF(94,89) = HCF(183,94) = HCF(277,183) = HCF(3507,277) = HCF(3784,3507) = HCF(7291,3784) .

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

Step 1: Since 52207 > 1, we apply the division lemma to 52207 and 1, to get

52207 = 1 x 52207 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52207 is 1

Notice that 1 = HCF(52207,1) .

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Frequently Asked Questions on HCF of 3784, 7291, 52207 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 3784, 7291, 52207?

Answer: HCF of 3784, 7291, 52207 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3784, 7291, 52207 using Euclid's Algorithm?

Answer: For arbitrary numbers 3784, 7291, 52207 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.