GCD of 175, 225, 214 Calculator

Given Input numbers are 175, 225, 214

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

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (175, 225, 214) = 1.

Given numbers are 175, 225, 214

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

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

Prime factors of 214 are 2 x 107

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

Given numbers are 175, 225, 214

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

Apply this formula for all numbers.

Step1:

LCM(175, 225) = 1575

GCD(175, 225) = ( 175 x 225 ) / 1575

= 175 / 225

= 175

Step2:

LCM(25, 214) = 5350

GCD(25, 214) = ( 25 x 214 ) / 5350

= 25 / 214

= 25

So, Greatest Common Divisor of 175, 225, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 925, 181
• GCD of 696, 567, 883
• GCD of 288, 547, 157
• GCD of 930, 498, 971
• GCD of 662, 699, 381

Given numbers are 175, 225, 214
The greatest common divisor of numbers 175, 225, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 225, 214 is 1.

1. What is the GCD of 175, 225, 214?

GCD of given numbers 175, 225, 214 is 1

2. How to calculate the greatest common divisor of 175, 225, 214?

We can find the highest common divisor of 175, 225, 214 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 175, 225, 214 i.e 1.

3. How can I use the GCD of 175, 225, 214Calculator?

Out the numbers 175, 225, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.