Highest Common Factor of 5740, 7784, 33363 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 5740, 7784, 33363 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5740, 7784, 33363 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 5740, 7784, 33363 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 5740, 7784, 33363 is 1.

HCF(5740, 7784, 33363) = 1

HCF of 5740, 7784, 33363 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 5740, 7784, 33363 is 1.

Highest Common Factor of 5740,7784,33363 using Euclid's algorithm

Highest Common Factor of 5740,7784,33363 is 1

Step 1: Since 7784 > 5740, we apply the division lemma to 7784 and 5740, to get

7784 = 5740 x 1 + 2044

Step 2: Since the reminder 5740 ≠ 0, we apply division lemma to 2044 and 5740, to get

5740 = 2044 x 2 + 1652

Step 3: We consider the new divisor 2044 and the new remainder 1652, and apply the division lemma to get

2044 = 1652 x 1 + 392

We consider the new divisor 1652 and the new remainder 392,and apply the division lemma to get

1652 = 392 x 4 + 84

We consider the new divisor 392 and the new remainder 84,and apply the division lemma to get

392 = 84 x 4 + 56

We consider the new divisor 84 and the new remainder 56,and apply the division lemma to get

84 = 56 x 1 + 28

We consider the new divisor 56 and the new remainder 28,and apply the division lemma to get

56 = 28 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 5740 and 7784 is 28

Notice that 28 = HCF(56,28) = HCF(84,56) = HCF(392,84) = HCF(1652,392) = HCF(2044,1652) = HCF(5740,2044) = HCF(7784,5740) .

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

Step 1: Since 33363 > 28, we apply the division lemma to 33363 and 28, to get

33363 = 28 x 1191 + 15

Step 2: Since the reminder 28 ≠ 0, we apply division lemma to 15 and 28, to get

28 = 15 x 1 + 13

Step 3: We consider the new divisor 15 and the new remainder 13, and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 28 and 33363 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(28,15) = HCF(33363,28) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 5740, 7784, 33363 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 5740, 7784, 33363?

Answer: HCF of 5740, 7784, 33363 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5740, 7784, 33363 using Euclid's Algorithm?

Answer: For arbitrary numbers 5740, 7784, 33363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.