GCD of 224, 309, 292, 150 Calculator

Given Input numbers are 224, 309, 292, 150

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

GCD of numbers is the greatest common divisor

So, the GCD (224, 309, 292, 150) = 1.

Given numbers are 224, 309, 292, 150

The list of prime factors of all numbers are

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 309 are 3 x 103

Prime factors of 292 are 2 x 2 x 73

Prime factors of 150 are 2 x 3 x 5 x 5

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

Given numbers are 224, 309, 292, 150

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

Apply this formula for all numbers.

Step1:

LCM(224, 309) = 69216

GCD(224, 309) = ( 224 x 309 ) / 69216

= 224 / 309

= 224

Step2:

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

= 1 / 292

= 1

Step3:

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

= 1 / 150

= 1

So, Greatest Common Divisor of 224, 309, 292, 150 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 629, 370, 640
• GCD of 789, 514, 634, 784
• GCD of 804, 953, 965, 206
• GCD of 770, 393, 975, 903
• GCD of 912, 566, 428, 281

Given numbers are 224, 309, 292, 150
The greatest common divisor of numbers 224, 309, 292, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 309, 292, 150 is 1.

1. What is the GCD of 224, 309, 292, 150?

GCD of given numbers 224, 309, 292, 150 is 1

2. How to calculate the greatest common divisor of 224, 309, 292, 150?

We can find the highest common divisor of 224, 309, 292, 150 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 224, 309, 292, 150 i.e 1.

3. How can I use the GCD of 224, 309, 292, 150Calculator?

Out the numbers 224, 309, 292, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.