GCD of 380, 540, 145, 988 Calculator

Given Input numbers are 380, 540, 145, 988

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (380, 540, 145, 988) = 1.

Given numbers are 380, 540, 145, 988

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 145 are 5 x 29

Prime factors of 988 are 2 x 2 x 13 x 19

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

Given numbers are 380, 540, 145, 988

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

Apply this formula for all numbers.

Step1:

LCM(380, 540) = 10260

GCD(380, 540) = ( 380 x 540 ) / 10260

= 380 / 540

= 380

Step2:

LCM(20, 145) = 580

GCD(20, 145) = ( 20 x 145 ) / 580

= 20 / 145

= 20

Step3:

LCM(5, 988) = 4940

GCD(5, 988) = ( 5 x 988 ) / 4940

= 5 / 988

= 5

So, Greatest Common Divisor of 380, 540, 145, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 995, 635, 493
• GCD of 488, 333, 455, 638
• GCD of 728, 772, 595, 486
• GCD of 975, 900, 815, 279
• GCD of 380, 876, 155, 596

Given numbers are 380, 540, 145, 988
The greatest common divisor of numbers 380, 540, 145, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 540, 145, 988 is 1.

1. What is the GCD of 380, 540, 145, 988?

GCD of given numbers 380, 540, 145, 988 is 1

2. How to calculate the greatest common divisor of 380, 540, 145, 988?

We can find the highest common divisor of 380, 540, 145, 988 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 380, 540, 145, 988 i.e 1.

3. How can I use the GCD of 380, 540, 145, 988Calculator?

Out the numbers 380, 540, 145, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.