Highest Common Factor of 7295, 5784 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 7295, 5784 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7295, 5784 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 7295, 5784 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 7295, 5784 is 1.

HCF(7295, 5784) = 1

HCF of 7295, 5784 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 7295, 5784 is 1.

Highest Common Factor of 7295,5784 using Euclid's algorithm

Highest Common Factor of 7295,5784 is 1

Step 1: Since 7295 > 5784, we apply the division lemma to 7295 and 5784, to get

7295 = 5784 x 1 + 1511

Step 2: Since the reminder 5784 ≠ 0, we apply division lemma to 1511 and 5784, to get

5784 = 1511 x 3 + 1251

Step 3: We consider the new divisor 1511 and the new remainder 1251, and apply the division lemma to get

1511 = 1251 x 1 + 260

We consider the new divisor 1251 and the new remainder 260,and apply the division lemma to get

1251 = 260 x 4 + 211

We consider the new divisor 260 and the new remainder 211,and apply the division lemma to get

260 = 211 x 1 + 49

We consider the new divisor 211 and the new remainder 49,and apply the division lemma to get

211 = 49 x 4 + 15

We consider the new divisor 49 and the new remainder 15,and apply the division lemma to get

49 = 15 x 3 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7295 and 5784 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(49,15) = HCF(211,49) = HCF(260,211) = HCF(1251,260) = HCF(1511,1251) = HCF(5784,1511) = HCF(7295,5784) .

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Frequently Asked Questions on HCF of 7295, 5784 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 7295, 5784?

Answer: HCF of 7295, 5784 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7295, 5784 using Euclid's Algorithm?

Answer: For arbitrary numbers 7295, 5784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.