Highest Common Factor of 594, 5997, 7778 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 594, 5997, 7778 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 594, 5997, 7778 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 594, 5997, 7778 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 594, 5997, 7778 is 1.

HCF(594, 5997, 7778) = 1

HCF of 594, 5997, 7778 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 594, 5997, 7778 is 1.

Highest Common Factor of 594,5997,7778 using Euclid's algorithm

Highest Common Factor of 594,5997,7778 is 1

Step 1: Since 5997 > 594, we apply the division lemma to 5997 and 594, to get

5997 = 594 x 10 + 57

Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 57 and 594, to get

594 = 57 x 10 + 24

Step 3: We consider the new divisor 57 and the new remainder 24, and apply the division lemma to get

57 = 24 x 2 + 9

We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get

24 = 9 x 2 + 6

We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get

9 = 6 x 1 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 594 and 5997 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(57,24) = HCF(594,57) = HCF(5997,594) .

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

Step 1: Since 7778 > 3, we apply the division lemma to 7778 and 3, to get

7778 = 3 x 2592 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 7778 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(7778,3) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 594, 5997, 7778 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 594, 5997, 7778?

Answer: HCF of 594, 5997, 7778 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 594, 5997, 7778 using Euclid's Algorithm?

Answer: For arbitrary numbers 594, 5997, 7778 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.