GCD of 130, 978, 635, 225 Calculator

Given Input numbers are 130, 978, 635, 225

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 635 :

The positive integer divisors of 635 that completely divides 635 are.

1, 5, 127, 635

Divisors of 225 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (130, 978, 635, 225) = 1.

Given numbers are 130, 978, 635, 225

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 978 are 2 x 3 x 163

Prime factors of 635 are 5 x 127

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

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

Given numbers are 130, 978, 635, 225

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

Apply this formula for all numbers.

Step1:

LCM(130, 978) = 63570

GCD(130, 978) = ( 130 x 978 ) / 63570

= 130 / 978

= 130

Step2:

LCM(2, 635) = 1270

GCD(2, 635) = ( 2 x 635 ) / 1270

= 2 / 635

= 2

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 130, 978, 635, 225 is 1

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Given numbers are 130, 978, 635, 225
The greatest common divisor of numbers 130, 978, 635, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 978, 635, 225 is 1.

1. What is the GCD of 130, 978, 635, 225?

GCD of given numbers 130, 978, 635, 225 is 1

2. How to calculate the greatest common divisor of 130, 978, 635, 225?

We can find the highest common divisor of 130, 978, 635, 225 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 130, 978, 635, 225 i.e 1.

3. How can I use the GCD of 130, 978, 635, 225Calculator?

Out the numbers 130, 978, 635, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.