GCD of 225, 280, 648, 196 Calculator

Given Input numbers are 225, 280, 648, 196

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

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (225, 280, 648, 196) = 1.

Given numbers are 225, 280, 648, 196

The list of prime factors of all numbers are

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

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 196 are 2 x 2 x 7 x 7

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

Given numbers are 225, 280, 648, 196

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

Apply this formula for all numbers.

Step1:

LCM(225, 280) = 12600

GCD(225, 280) = ( 225 x 280 ) / 12600

= 225 / 280

= 225

Step2:

LCM(5, 648) = 3240

GCD(5, 648) = ( 5 x 648 ) / 3240

= 5 / 648

= 5

Step3:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1

So, Greatest Common Divisor of 225, 280, 648, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 466, 161, 203
• GCD of 260, 494, 301, 361
• GCD of 261, 372, 956, 313
• GCD of 229, 420, 437, 294
• GCD of 682, 229, 320, 132

Given numbers are 225, 280, 648, 196
The greatest common divisor of numbers 225, 280, 648, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 280, 648, 196 is 1.

1. What is the GCD of 225, 280, 648, 196?

GCD of given numbers 225, 280, 648, 196 is 1

2. How to calculate the greatest common divisor of 225, 280, 648, 196?

We can find the highest common divisor of 225, 280, 648, 196 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 225, 280, 648, 196 i.e 1.

3. How can I use the GCD of 225, 280, 648, 196Calculator?

Out the numbers 225, 280, 648, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.