GCD of 260, 575, 648, 989 Calculator

Given Input numbers are 260, 575, 648, 989

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

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (260, 575, 648, 989) = 1.

Given numbers are 260, 575, 648, 989

The list of prime factors of all numbers are

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 575 are 5 x 5 x 23

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 989 are 23 x 43

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

Given numbers are 260, 575, 648, 989

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

Apply this formula for all numbers.

Step1:

LCM(260, 575) = 29900

GCD(260, 575) = ( 260 x 575 ) / 29900

= 260 / 575

= 260

Step2:

LCM(5, 648) = 3240

GCD(5, 648) = ( 5 x 648 ) / 3240

= 5 / 648

= 5

Step3:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1

So, Greatest Common Divisor of 260, 575, 648, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 254, 357, 483
• GCD of 193, 792, 329, 680
• GCD of 497, 287, 463, 433
• GCD of 720, 751, 683, 484
• GCD of 675, 678, 194, 931

Given numbers are 260, 575, 648, 989
The greatest common divisor of numbers 260, 575, 648, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 575, 648, 989 is 1.

1. What is the GCD of 260, 575, 648, 989?

GCD of given numbers 260, 575, 648, 989 is 1

2. How to calculate the greatest common divisor of 260, 575, 648, 989?

We can find the highest common divisor of 260, 575, 648, 989 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 260, 575, 648, 989 i.e 1.

3. How can I use the GCD of 260, 575, 648, 989Calculator?

Out the numbers 260, 575, 648, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.