GCD of 428, 225, 301, 987 Calculator

Given Input numbers are 428, 225, 301, 987

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

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 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (428, 225, 301, 987) = 1.

Given numbers are 428, 225, 301, 987

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

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

Prime factors of 301 are 7 x 43

Prime factors of 987 are 3 x 7 x 47

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

Given numbers are 428, 225, 301, 987

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

Apply this formula for all numbers.

Step1:

LCM(428, 225) = 96300

GCD(428, 225) = ( 428 x 225 ) / 96300

= 428 / 225

= 428

Step2:

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

= 1 / 301

= 1

Step3:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1

So, Greatest Common Divisor of 428, 225, 301, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 414, 750, 247
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• GCD of 829, 778, 235, 805
• GCD of 345, 855, 199, 480

Given numbers are 428, 225, 301, 987
The greatest common divisor of numbers 428, 225, 301, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 225, 301, 987 is 1.

1. What is the GCD of 428, 225, 301, 987?

GCD of given numbers 428, 225, 301, 987 is 1

2. How to calculate the greatest common divisor of 428, 225, 301, 987?

We can find the highest common divisor of 428, 225, 301, 987 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 428, 225, 301, 987 i.e 1.

3. How can I use the GCD of 428, 225, 301, 987Calculator?

Out the numbers 428, 225, 301, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.