GCD of 754, 180, 653, 387 Calculator

Given Input numbers are 754, 180, 653, 387

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

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

GCD of numbers is the greatest common divisor

So, the GCD (754, 180, 653, 387) = 1.

Given numbers are 754, 180, 653, 387

The list of prime factors of all numbers are

Prime factors of 754 are 2 x 13 x 29

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 653 are 653

Prime factors of 387 are 3 x 3 x 43

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

Given numbers are 754, 180, 653, 387

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

Apply this formula for all numbers.

Step1:

LCM(754, 180) = 67860

GCD(754, 180) = ( 754 x 180 ) / 67860

= 754 / 180

= 754

Step2:

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

= 2 / 653

= 2

Step3:

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

= 1 / 387

= 1

So, Greatest Common Divisor of 754, 180, 653, 387 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 993, 199, 713
• GCD of 531, 462, 621, 394
• GCD of 559, 229, 364, 915
• GCD of 534, 510, 865, 655
• GCD of 435, 545, 105, 182

Given numbers are 754, 180, 653, 387
The greatest common divisor of numbers 754, 180, 653, 387 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 754, 180, 653, 387 is 1.

1. What is the GCD of 754, 180, 653, 387?

GCD of given numbers 754, 180, 653, 387 is 1

2. How to calculate the greatest common divisor of 754, 180, 653, 387?

We can find the highest common divisor of 754, 180, 653, 387 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 754, 180, 653, 387 i.e 1.

3. How can I use the GCD of 754, 180, 653, 387Calculator?

Out the numbers 754, 180, 653, 387 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.