GCD of 675, 380, 180, 938 Calculator

Given Input numbers are 675, 380, 180, 938

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 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 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (675, 380, 180, 938) = 1.

Given numbers are 675, 380, 180, 938

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

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

Prime factors of 938 are 2 x 7 x 67

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

Given numbers are 675, 380, 180, 938

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

Apply this formula for all numbers.

Step1:

LCM(675, 380) = 51300

GCD(675, 380) = ( 675 x 380 ) / 51300

= 675 / 380

= 675

Step2:

LCM(5, 180) = 180

GCD(5, 180) = ( 5 x 180 ) / 180

= 5 / 180

= 5

Step3:

LCM(5, 938) = 4690

GCD(5, 938) = ( 5 x 938 ) / 4690

= 5 / 938

= 5

So, Greatest Common Divisor of 675, 380, 180, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 549, 517, 548
• GCD of 438, 470, 699, 391
• GCD of 293, 291, 698, 537
• GCD of 208, 648, 999, 171
• GCD of 896, 635, 144, 956

Given numbers are 675, 380, 180, 938
The greatest common divisor of numbers 675, 380, 180, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 380, 180, 938 is 1.

1. What is the GCD of 675, 380, 180, 938?

GCD of given numbers 675, 380, 180, 938 is 1

2. How to calculate the greatest common divisor of 675, 380, 180, 938?

We can find the highest common divisor of 675, 380, 180, 938 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 675, 380, 180, 938 i.e 1.

3. How can I use the GCD of 675, 380, 180, 938Calculator?

Out the numbers 675, 380, 180, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.