Highest Common Factor of 3594, 9243, 73318 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 3594, 9243, 73318 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3594, 9243, 73318 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 3594, 9243, 73318 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 3594, 9243, 73318 is 1.

HCF(3594, 9243, 73318) = 1

HCF of 3594, 9243, 73318 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 3594, 9243, 73318 is 1.

Highest Common Factor of 3594,9243,73318 using Euclid's algorithm

Highest Common Factor of 3594,9243,73318 is 1

Step 1: Since 9243 > 3594, we apply the division lemma to 9243 and 3594, to get

9243 = 3594 x 2 + 2055

Step 2: Since the reminder 3594 ≠ 0, we apply division lemma to 2055 and 3594, to get

3594 = 2055 x 1 + 1539

Step 3: We consider the new divisor 2055 and the new remainder 1539, and apply the division lemma to get

2055 = 1539 x 1 + 516

We consider the new divisor 1539 and the new remainder 516,and apply the division lemma to get

1539 = 516 x 2 + 507

We consider the new divisor 516 and the new remainder 507,and apply the division lemma to get

516 = 507 x 1 + 9

We consider the new divisor 507 and the new remainder 9,and apply the division lemma to get

507 = 9 x 56 + 3

We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get

9 = 3 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3594 and 9243 is 3

Notice that 3 = HCF(9,3) = HCF(507,9) = HCF(516,507) = HCF(1539,516) = HCF(2055,1539) = HCF(3594,2055) = HCF(9243,3594) .

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

Step 1: Since 73318 > 3, we apply the division lemma to 73318 and 3, to get

73318 = 3 x 24439 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 73318 is 1

Notice that 1 = HCF(3,1) = HCF(73318,3) .

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Frequently Asked Questions on HCF of 3594, 9243, 73318 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 3594, 9243, 73318?

Answer: HCF of 3594, 9243, 73318 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3594, 9243, 73318 using Euclid's Algorithm?

Answer: For arbitrary numbers 3594, 9243, 73318 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.