Highest Common Factor of 5747, 4084 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 5747, 4084 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5747, 4084 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 5747, 4084 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 5747, 4084 is 1.

HCF(5747, 4084) = 1

HCF of 5747, 4084 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 5747, 4084 is 1.

Highest Common Factor of 5747,4084 using Euclid's algorithm

Highest Common Factor of 5747,4084 is 1

Step 1: Since 5747 > 4084, we apply the division lemma to 5747 and 4084, to get

5747 = 4084 x 1 + 1663

Step 2: Since the reminder 4084 ≠ 0, we apply division lemma to 1663 and 4084, to get

4084 = 1663 x 2 + 758

Step 3: We consider the new divisor 1663 and the new remainder 758, and apply the division lemma to get

1663 = 758 x 2 + 147

We consider the new divisor 758 and the new remainder 147,and apply the division lemma to get

758 = 147 x 5 + 23

We consider the new divisor 147 and the new remainder 23,and apply the division lemma to get

147 = 23 x 6 + 9

We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get

23 = 9 x 2 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 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 5747 and 4084 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(147,23) = HCF(758,147) = HCF(1663,758) = HCF(4084,1663) = HCF(5747,4084) .

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Frequently Asked Questions on HCF of 5747, 4084 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 5747, 4084?

Answer: HCF of 5747, 4084 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5747, 4084 using Euclid's Algorithm?

Answer: For arbitrary numbers 5747, 4084 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.