GCD of 375, 100, 225, 169 Calculator

Given Input numbers are 375, 100, 225, 169

In the factoring method, we have to find the divisors of all numbers

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

GCD of numbers is the greatest common divisor

So, the GCD (375, 100, 225, 169) = 1.

Given numbers are 375, 100, 225, 169

The list of prime factors of all numbers are

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 169 are 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 375, 100, 225, 169

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(375, 100) = 1500

GCD(375, 100) = ( 375 x 100 ) / 1500

= 375 / 100

= 375

Step2:

LCM(25, 225) = 225

GCD(25, 225) = ( 25 x 225 ) / 225

= 25 / 225

= 25

Step3:

LCM(25, 169) = 4225

GCD(25, 169) = ( 25 x 169 ) / 4225

= 25 / 169

= 25

So, Greatest Common Divisor of 375, 100, 225, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 804, 344, 122
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• GCD of 661, 664, 717, 809

Given numbers are 375, 100, 225, 169
The greatest common divisor of numbers 375, 100, 225, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 100, 225, 169 is 1.

1. What is the GCD of 375, 100, 225, 169?

GCD of given numbers 375, 100, 225, 169 is 1

2. How to calculate the greatest common divisor of 375, 100, 225, 169?

We can find the highest common divisor of 375, 100, 225, 169 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 375, 100, 225, 169 i.e 1.

3. How can I use the GCD of 375, 100, 225, 169Calculator?

Out the numbers 375, 100, 225, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.