GCD of 225, 974, 138, 565 Calculator

Given Input numbers are 225, 974, 138, 565

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 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

GCD of numbers is the greatest common divisor

So, the GCD (225, 974, 138, 565) = 1.

Given numbers are 225, 974, 138, 565

The list of prime factors of all numbers are

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

Prime factors of 974 are 2 x 487

Prime factors of 138 are 2 x 3 x 23

Prime factors of 565 are 5 x 113

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

Given numbers are 225, 974, 138, 565

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

Apply this formula for all numbers.

Step1:

LCM(225, 974) = 219150

GCD(225, 974) = ( 225 x 974 ) / 219150

= 225 / 974

= 225

Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

Step3:

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

= 1 / 565

= 1

So, Greatest Common Divisor of 225, 974, 138, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 597, 997, 340
• GCD of 163, 179, 349, 213
• GCD of 894, 104, 415, 227
• GCD of 333, 122, 107, 175
• GCD of 710, 751, 624, 547

Given numbers are 225, 974, 138, 565
The greatest common divisor of numbers 225, 974, 138, 565 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 974, 138, 565 is 1.

1. What is the GCD of 225, 974, 138, 565?

GCD of given numbers 225, 974, 138, 565 is 1

2. How to calculate the greatest common divisor of 225, 974, 138, 565?

We can find the highest common divisor of 225, 974, 138, 565 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, 974, 138, 565 i.e 1.

3. How can I use the GCD of 225, 974, 138, 565Calculator?

Out the numbers 225, 974, 138, 565 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.