# Highest Common Factor of 25, 75, 100 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 25, 75, 100 i.e. 25 the largest integer that leaves a remainder zero for all numbers.

HCF of 25, 75, 100 is 25 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, 75, 100 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, 75, 100 is 25.

HCF(25, 75, 100) = 25

## HCF of 25, 75, 100 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 25, 75, 100 is 25.

### Highest Common Factor of 25,75,100 using Euclid's algorithm

Step 1: Since 75 > 25, we apply the division lemma to 75 and 25, to get

75 = 25 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 25 and 75 is 25

Notice that 25 = HCF(75,25) .

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

Step 1: Since 100 > 25, we apply the division lemma to 100 and 25, to get

100 = 25 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 25 and 100 is 25

Notice that 25 = HCF(100,25) .

### HCF using Euclid's Algorithm Calculation Examples

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### Frequently Asked Questions on HCF of 25, 75, 100 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 25, 75, 100?

Answer: HCF of 25, 75, 100 is 25 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 25, 75, 100 using Euclid's Algorithm?

Answer: For arbitrary numbers 25, 75, 100 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.