HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 25, 35, 45 i.e. 5 the largest integer that leaves a remainder zero for all numbers.

HCF of 25, 35, 45 is 5 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 25, 35, 45 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 25, 35, 45 is **5**.

HCF(25, 35, 45) = 5

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

Highest common factor (HCF) of 25, 35, 45 is **5**.

**Step 1:** Since 35 > 25, we apply the division lemma to 35 and 25, to get

35 = 25 x 1 + 10

**Step 2:** Since the reminder 25 ≠ 0, we apply division lemma to 10 and 25, to get

25 = 10 x 2 + 5

**Step 3:** We consider the new divisor 10 and the new remainder 5, and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 25 and 35 is 5

Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(35,25) .

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

**Step 1:** Since 45 > 5, we apply the division lemma to 45 and 5, to get

45 = 5 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 45 is 5

Notice that 5 = HCF(45,5) .

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 25, 35, 45?

Answer: HCF of 25, 35, 45 is 5 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 25, 35, 45 using Euclid's Algorithm?

Answer: For arbitrary numbers 25, 35, 45 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.