GCD of 135, 518, 980, 744 Calculator

Given Input numbers are 135, 518, 980, 744

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 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (135, 518, 980, 744) = 1.

Given numbers are 135, 518, 980, 744

The list of prime factors of all numbers are

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

Prime factors of 518 are 2 x 7 x 37

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

Given numbers are 135, 518, 980, 744

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

Apply this formula for all numbers.

Step1:

LCM(135, 518) = 69930

GCD(135, 518) = ( 135 x 518 ) / 69930

= 135 / 518

= 135

Step2:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

Step3:

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

= 1 / 744

= 1

So, Greatest Common Divisor of 135, 518, 980, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 670, 110, 991
• GCD of 867, 496, 548, 509
• GCD of 628, 659, 640, 981
• GCD of 151, 911, 611, 949
• GCD of 668, 360, 263, 709

Given numbers are 135, 518, 980, 744
The greatest common divisor of numbers 135, 518, 980, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 518, 980, 744 is 1.

1. What is the GCD of 135, 518, 980, 744?

GCD of given numbers 135, 518, 980, 744 is 1

2. How to calculate the greatest common divisor of 135, 518, 980, 744?

We can find the highest common divisor of 135, 518, 980, 744 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, 518, 980, 744 i.e 1.

3. How can I use the GCD of 135, 518, 980, 744Calculator?

Out the numbers 135, 518, 980, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.