# Highest Common Factor of 45, 60, 150 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 45, 60, 150 i.e. 15 the largest integer that leaves a remainder zero for all numbers.

HCF of 45, 60, 150 is 15 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 45, 60, 150 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 45, 60, 150 is 15.

HCF(45, 60, 150) = 15

## HCF of 45, 60, 150 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 45, 60, 150 is 15.

### Highest Common Factor of 45,60,150 using Euclid's algorithm

Step 1: Since 60 > 45, we apply the division lemma to 60 and 45, to get

60 = 45 x 1 + 15

Step 2: Since the reminder 45 ≠ 0, we apply division lemma to 15 and 45, to get

45 = 15 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 45 and 60 is 15

Notice that 15 = HCF(45,15) = HCF(60,45) .

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

Step 1: Since 150 > 15, we apply the division lemma to 150 and 15, to get

150 = 15 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 15 and 150 is 15

Notice that 15 = HCF(150,15) .

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### Frequently Asked Questions on HCF of 45, 60, 150 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 45, 60, 150?

Answer: HCF of 45, 60, 150 is 15 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 45, 60, 150 using Euclid's Algorithm?

Answer: For arbitrary numbers 45, 60, 150 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.