GCD of 314, 675, 470, 138 Calculator

Given Input numbers are 314, 675, 470, 138

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (314, 675, 470, 138) = 1.

Given numbers are 314, 675, 470, 138

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

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

Prime factors of 470 are 2 x 5 x 47

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 314, 675, 470, 138

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

Apply this formula for all numbers.

Step1:

LCM(314, 675) = 211950

GCD(314, 675) = ( 314 x 675 ) / 211950

= 314 / 675

= 314

Step2:

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

= 1 / 470

= 1

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 314, 675, 470, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 458, 986, 793
• GCD of 446, 589, 448, 480
• GCD of 489, 797, 465, 728
• GCD of 484, 548, 599, 596
• GCD of 626, 646, 437, 412

Given numbers are 314, 675, 470, 138
The greatest common divisor of numbers 314, 675, 470, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 675, 470, 138 is 1.

1. What is the GCD of 314, 675, 470, 138?

GCD of given numbers 314, 675, 470, 138 is 1

2. How to calculate the greatest common divisor of 314, 675, 470, 138?

We can find the highest common divisor of 314, 675, 470, 138 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 314, 675, 470, 138 i.e 1.

3. How can I use the GCD of 314, 675, 470, 138Calculator?

Out the numbers 314, 675, 470, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.