GCD of 875, 900, 38, 945 Calculator

Given Input numbers are 875, 900, 38, 945

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

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

GCD of numbers is the greatest common divisor

So, the GCD (875, 900, 38, 945) = 1.

Given numbers are 875, 900, 38, 945

The list of prime factors of all numbers are

Prime factors of 875 are 5 x 5 x 5 x 7

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 38 are 2 x 19

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Given numbers are 875, 900, 38, 945

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

Apply this formula for all numbers.

Step1:

LCM(875, 900) = 31500

GCD(875, 900) = ( 875 x 900 ) / 31500

= 875 / 900

= 875

Step2:

LCM(25, 38) = 950

GCD(25, 38) = ( 25 x 38 ) / 950

= 25 / 38

= 25

Step3:

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

= 1 / 945

= 1

So, Greatest Common Divisor of 875, 900, 38, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 938, 62, 864
• GCD of 131, 323, 99, 280
• GCD of 161, 128, 82, 995
• GCD of 738, 942, 95, 573
• GCD of 424, 816, 59, 348

Given numbers are 875, 900, 38, 945
The greatest common divisor of numbers 875, 900, 38, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 875, 900, 38, 945 is 1.

1. What is the GCD of 875, 900, 38, 945?

GCD of given numbers 875, 900, 38, 945 is 1

2. How to calculate the greatest common divisor of 875, 900, 38, 945?

We can find the highest common divisor of 875, 900, 38, 945 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 875, 900, 38, 945 i.e 1.

3. How can I use the GCD of 875, 900, 38, 945Calculator?

Out the numbers 875, 900, 38, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.