HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 135, 225, 315 i.e. 45 the largest integer that leaves a remainder zero for all numbers.

HCF of 135, 225, 315 is 45 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 135, 225, 315 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 135, 225, 315 is **45**.

HCF(135, 225, 315) = 45

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

Highest common factor (HCF) of 135, 225, 315 is **45**.

**Step 1:** Since 225 > 135, we apply the division lemma to 225 and 135, to get

225 = 135 x 1 + 90

**Step 2:** Since the reminder 135 ≠ 0, we apply division lemma to 90 and 135, to get

135 = 90 x 1 + 45

**Step 3:** We consider the new divisor 90 and the new remainder 45, and apply the division lemma to get

90 = 45 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 45, the HCF of 135 and 225 is 45

Notice that 45 = HCF(90,45) = HCF(135,90) = HCF(225,135) .

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

**Step 1:** Since 315 > 45, we apply the division lemma to 315 and 45, to get

315 = 45 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 45, the HCF of 45 and 315 is 45

Notice that 45 = HCF(315,45) .

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 135, 225, 315?

Answer: HCF of 135, 225, 315 is 45 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 135, 225, 315 using Euclid's Algorithm?

Answer: For arbitrary numbers 135, 225, 315 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.