HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 18, 30, 54 i.e. 6 the largest integer that leaves a remainder zero for all numbers.

HCF of 18, 30, 54 is 6 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 18, 30, 54 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 18, 30, 54 is **6**.

HCF(18, 30, 54) = 6

*Highest common factor* or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

Highest common factor (HCF) of 18, 30, 54 is **6**.

**Step 1:** Since 30 > 18, we apply the division lemma to 30 and 18, to get

30 = 18 x 1 + 12

**Step 2:** Since the reminder 18 ≠ 0, we apply division lemma to 12 and 18, to get

18 = 12 x 1 + 6

**Step 3:** We consider the new divisor 12 and the new remainder 6, and apply the division lemma to get

12 = 6 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 18 and 30 is 6

Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(30,18) .

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

**Step 1:** Since 54 > 6, we apply the division lemma to 54 and 6, to get

54 = 6 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 6 and 54 is 6

Notice that 6 = HCF(54,6) .

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

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 18, 30, 54?

Answer: HCF of 18, 30, 54 is 6 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 18, 30, 54 using Euclid's Algorithm?

Answer: For arbitrary numbers 18, 30, 54 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.