GCD of 150, 225, 107, 560 Calculator

Given Input numbers are 150, 225, 107, 560

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (150, 225, 107, 560) = 1.

Given numbers are 150, 225, 107, 560

The list of prime factors of all numbers are

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

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 107 are 107

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

Given numbers are 150, 225, 107, 560

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

Apply this formula for all numbers.

Step1:

LCM(150, 225) = 450

GCD(150, 225) = ( 150 x 225 ) / 450

= 150 / 225

= 150

Step2:

LCM(75, 107) = 8025

GCD(75, 107) = ( 75 x 107 ) / 8025

= 75 / 107

= 75

Step3:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1

So, Greatest Common Divisor of 150, 225, 107, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 196, 952, 477
• GCD of 962, 479, 637, 785
• GCD of 704, 567, 571, 711
• GCD of 704, 568, 694, 107
• GCD of 594, 406, 265, 906

Given numbers are 150, 225, 107, 560
The greatest common divisor of numbers 150, 225, 107, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 225, 107, 560 is 1.

1. What is the GCD of 150, 225, 107, 560?

GCD of given numbers 150, 225, 107, 560 is 1

2. How to calculate the greatest common divisor of 150, 225, 107, 560?

We can find the highest common divisor of 150, 225, 107, 560 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, 225, 107, 560 i.e 1.

3. How can I use the GCD of 150, 225, 107, 560Calculator?

Out the numbers 150, 225, 107, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.