GCD of 305, 972, 120, 870 Calculator

Given Input numbers are 305, 972, 120, 870

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

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (305, 972, 120, 870) = 1.

Given numbers are 305, 972, 120, 870

The list of prime factors of all numbers are

Prime factors of 305 are 5 x 61

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

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 870 are 2 x 3 x 5 x 29

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

Given numbers are 305, 972, 120, 870

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

Apply this formula for all numbers.

Step1:

LCM(305, 972) = 296460

GCD(305, 972) = ( 305 x 972 ) / 296460

= 305 / 972

= 305

Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

Step3:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1

So, Greatest Common Divisor of 305, 972, 120, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 953, 803, 331
• GCD of 592, 938, 306, 453
• GCD of 951, 837, 240, 623
• GCD of 863, 300, 580, 356
• GCD of 725, 223, 248, 304

Given numbers are 305, 972, 120, 870
The greatest common divisor of numbers 305, 972, 120, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 972, 120, 870 is 1.

1. What is the GCD of 305, 972, 120, 870?

GCD of given numbers 305, 972, 120, 870 is 1

2. How to calculate the greatest common divisor of 305, 972, 120, 870?

We can find the highest common divisor of 305, 972, 120, 870 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 305, 972, 120, 870 i.e 1.

3. How can I use the GCD of 305, 972, 120, 870Calculator?

Out the numbers 305, 972, 120, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.