GCD of 875, 135, 205, 112 Calculator

Given Input numbers are 875, 135, 205, 112

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 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (875, 135, 205, 112) = 1.

Given numbers are 875, 135, 205, 112

The list of prime factors of all numbers are

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

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 205 are 5 x 41

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 875, 135, 205, 112

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

Apply this formula for all numbers.

Step1:

LCM(875, 135) = 23625

GCD(875, 135) = ( 875 x 135 ) / 23625

= 875 / 135

= 875

Step2:

LCM(5, 205) = 205

GCD(5, 205) = ( 5 x 205 ) / 205

= 5 / 205

= 5

Step3:

LCM(5, 112) = 560

GCD(5, 112) = ( 5 x 112 ) / 560

= 5 / 112

= 5

So, Greatest Common Divisor of 875, 135, 205, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 462, 772, 206
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• GCD of 336, 131, 994, 144
• GCD of 826, 315, 167, 540

Given numbers are 875, 135, 205, 112
The greatest common divisor of numbers 875, 135, 205, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 875, 135, 205, 112 is 1.

1. What is the GCD of 875, 135, 205, 112?

GCD of given numbers 875, 135, 205, 112 is 1

2. How to calculate the greatest common divisor of 875, 135, 205, 112?

We can find the highest common divisor of 875, 135, 205, 112 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, 135, 205, 112 i.e 1.

3. How can I use the GCD of 875, 135, 205, 112Calculator?

Out the numbers 875, 135, 205, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.