GCD of 351, 741, 138, 580 Calculator

Given Input numbers are 351, 741, 138, 580

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

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (351, 741, 138, 580) = 1.

Given numbers are 351, 741, 138, 580

The list of prime factors of all numbers are

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 741 are 3 x 13 x 19

Prime factors of 138 are 2 x 3 x 23

Prime factors of 580 are 2 x 2 x 5 x 29

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

Given numbers are 351, 741, 138, 580

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

Apply this formula for all numbers.

Step1:

LCM(351, 741) = 6669

GCD(351, 741) = ( 351 x 741 ) / 6669

= 351 / 741

= 351

Step2:

LCM(39, 138) = 1794

GCD(39, 138) = ( 39 x 138 ) / 1794

= 39 / 138

= 39

Step3:

LCM(3, 580) = 1740

GCD(3, 580) = ( 3 x 580 ) / 1740

= 3 / 580

= 3

So, Greatest Common Divisor of 351, 741, 138, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 618, 129, 629
• GCD of 947, 198, 980, 285
• GCD of 462, 865, 932, 872
• GCD of 146, 906, 380, 920
• GCD of 653, 418, 403, 231

Given numbers are 351, 741, 138, 580
The greatest common divisor of numbers 351, 741, 138, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 741, 138, 580 is 1.

1. What is the GCD of 351, 741, 138, 580?

GCD of given numbers 351, 741, 138, 580 is 1

2. How to calculate the greatest common divisor of 351, 741, 138, 580?

We can find the highest common divisor of 351, 741, 138, 580 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 351, 741, 138, 580 i.e 1.

3. How can I use the GCD of 351, 741, 138, 580Calculator?

Out the numbers 351, 741, 138, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.