GCD of 150, 870, 309, 707 Calculator

Given Input numbers are 150, 870, 309, 707

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

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

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

GCD of numbers is the greatest common divisor

So, the GCD (150, 870, 309, 707) = 1.

Given numbers are 150, 870, 309, 707

The list of prime factors of all numbers are

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

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

Prime factors of 309 are 3 x 103

Prime factors of 707 are 7 x 101

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

Given numbers are 150, 870, 309, 707

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

Apply this formula for all numbers.

Step1:

LCM(150, 870) = 4350

GCD(150, 870) = ( 150 x 870 ) / 4350

= 150 / 870

= 150

Step2:

LCM(30, 309) = 3090

GCD(30, 309) = ( 30 x 309 ) / 3090

= 30 / 309

= 30

Step3:

LCM(3, 707) = 2121

GCD(3, 707) = ( 3 x 707 ) / 2121

= 3 / 707

= 3

So, Greatest Common Divisor of 150, 870, 309, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 507, 499, 429
• GCD of 484, 514, 432, 899
• GCD of 500, 872, 192, 675
• GCD of 927, 163, 218, 898
• GCD of 568, 517, 790, 129

Given numbers are 150, 870, 309, 707
The greatest common divisor of numbers 150, 870, 309, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 870, 309, 707 is 1.

1. What is the GCD of 150, 870, 309, 707?

GCD of given numbers 150, 870, 309, 707 is 1

2. How to calculate the greatest common divisor of 150, 870, 309, 707?

We can find the highest common divisor of 150, 870, 309, 707 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 150, 870, 309, 707 i.e 1.

3. How can I use the GCD of 150, 870, 309, 707Calculator?

Out the numbers 150, 870, 309, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.