HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 30, 264, 495 i.e. 3 the largest integer that leaves a remainder zero for all numbers.

HCF of 30, 264, 495 is 3 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 30, 264, 495 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 30, 264, 495 is **3**.

HCF(30, 264, 495) = 3

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

Highest common factor (HCF) of 30, 264, 495 is **3**.

**Step 1:** Since 264 > 30, we apply the division lemma to 264 and 30, to get

264 = 30 x 8 + 24

**Step 2:** Since the reminder 30 ≠ 0, we apply division lemma to 24 and 30, to get

30 = 24 x 1 + 6

**Step 3:** We consider the new divisor 24 and the new remainder 6, and apply the division lemma to get

24 = 6 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 30 and 264 is 6

Notice that 6 = HCF(24,6) = HCF(30,24) = HCF(264,30) .

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

**Step 1:** Since 495 > 6, we apply the division lemma to 495 and 6, to get

495 = 6 x 82 + 3

**Step 2:** Since the reminder 6 ≠ 0, we apply division lemma to 3 and 6, 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 6 and 495 is 3

Notice that 3 = HCF(6,3) = HCF(495,6) .

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 30, 264, 495?

Answer: HCF of 30, 264, 495 is 3 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 30, 264, 495 using Euclid's Algorithm?

Answer: For arbitrary numbers 30, 264, 495 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.