GCD of 135, 225, 896, 472 Calculator

Given Input numbers are 135, 225, 896, 472

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

Divisors of 135 :

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

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

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

GCD of numbers is the greatest common divisor

So, the GCD (135, 225, 896, 472) = 1.

Given numbers are 135, 225, 896, 472

The list of prime factors of all numbers are

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

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

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 472 are 2 x 2 x 2 x 59

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

Given numbers are 135, 225, 896, 472

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

Apply this formula for all numbers.

Step1:

LCM(135, 225) = 675

GCD(135, 225) = ( 135 x 225 ) / 675

= 135 / 225

= 135

Step2:

LCM(45, 896) = 40320

GCD(45, 896) = ( 45 x 896 ) / 40320

= 45 / 896

= 45

Step3:

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

= 1 / 472

= 1

So, Greatest Common Divisor of 135, 225, 896, 472 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 761, 725, 969
• GCD of 920, 216, 535, 298
• GCD of 590, 558, 533, 439
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• GCD of 605, 965, 363, 823

Given numbers are 135, 225, 896, 472
The greatest common divisor of numbers 135, 225, 896, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 225, 896, 472 is 1.

1. What is the GCD of 135, 225, 896, 472?

GCD of given numbers 135, 225, 896, 472 is 1

2. How to calculate the greatest common divisor of 135, 225, 896, 472?

We can find the highest common divisor of 135, 225, 896, 472 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 135, 225, 896, 472 i.e 1.

3. How can I use the GCD of 135, 225, 896, 472Calculator?

Out the numbers 135, 225, 896, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.