GCD of 369, 287, 149, 975 Calculator

Given Input numbers are 369, 287, 149, 975

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 287 :

The positive integer divisors of 287 that completely divides 287 are.

1, 7, 41, 287

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

GCD of numbers is the greatest common divisor

So, the GCD (369, 287, 149, 975) = 1.

Given numbers are 369, 287, 149, 975

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 287 are 7 x 41

Prime factors of 149 are 149

Prime factors of 975 are 3 x 5 x 5 x 13

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

Given numbers are 369, 287, 149, 975

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

Apply this formula for all numbers.

Step1:

LCM(369, 287) = 2583

GCD(369, 287) = ( 369 x 287 ) / 2583

= 369 / 287

= 369

Step2:

LCM(41, 149) = 6109

GCD(41, 149) = ( 41 x 149 ) / 6109

= 41 / 149

= 41

Step3:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

So, Greatest Common Divisor of 369, 287, 149, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 380, 362, 561, 374
• GCD of 135, 353, 522, 310
• GCD of 701, 456, 312, 141
• GCD of 711, 410, 223, 752
• GCD of 873, 912, 807, 533

Given numbers are 369, 287, 149, 975
The greatest common divisor of numbers 369, 287, 149, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 287, 149, 975 is 1.

1. What is the GCD of 369, 287, 149, 975?

GCD of given numbers 369, 287, 149, 975 is 1

2. How to calculate the greatest common divisor of 369, 287, 149, 975?

We can find the highest common divisor of 369, 287, 149, 975 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 369, 287, 149, 975 i.e 1.

3. How can I use the GCD of 369, 287, 149, 975Calculator?

Out the numbers 369, 287, 149, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.