GCD of 350, 972, 675, 149 Calculator

Given Input numbers are 350, 972, 675, 149

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 149 :

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

1, 149

GCD of numbers is the greatest common divisor

So, the GCD (350, 972, 675, 149) = 1.

Given numbers are 350, 972, 675, 149

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 149 are 149

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

Given numbers are 350, 972, 675, 149

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

Apply this formula for all numbers.

Step1:

LCM(350, 972) = 170100

GCD(350, 972) = ( 350 x 972 ) / 170100

= 350 / 972

= 350

Step2:

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

= 2 / 675

= 2

Step3:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

So, Greatest Common Divisor of 350, 972, 675, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 955, 753, 407
• GCD of 786, 582, 894, 452
• GCD of 574, 284, 109, 117
• GCD of 550, 227, 293, 203
• GCD of 738, 426, 545, 410

Given numbers are 350, 972, 675, 149
The greatest common divisor of numbers 350, 972, 675, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 972, 675, 149 is 1.

1. What is the GCD of 350, 972, 675, 149?

GCD of given numbers 350, 972, 675, 149 is 1

2. How to calculate the greatest common divisor of 350, 972, 675, 149?

We can find the highest common divisor of 350, 972, 675, 149 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 350, 972, 675, 149 i.e 1.

3. How can I use the GCD of 350, 972, 675, 149Calculator?

Out the numbers 350, 972, 675, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.