GCD of 949, 314, 275, 180 Calculator

Given Input numbers are 949, 314, 275, 180

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

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

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

GCD of numbers is the greatest common divisor

So, the GCD (949, 314, 275, 180) = 1.

Given numbers are 949, 314, 275, 180

The list of prime factors of all numbers are

Prime factors of 949 are 13 x 73

Prime factors of 314 are 2 x 157

Prime factors of 275 are 5 x 5 x 11

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

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

Given numbers are 949, 314, 275, 180

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

Apply this formula for all numbers.

Step1:

LCM(949, 314) = 297986

GCD(949, 314) = ( 949 x 314 ) / 297986

= 949 / 314

= 949

Step2:

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

= 1 / 275

= 1

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 949, 314, 275, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 873, 760, 363
• GCD of 553, 586, 369, 296
• GCD of 742, 454, 929, 723
• GCD of 868, 733, 667, 133
• GCD of 975, 878, 359, 779

Given numbers are 949, 314, 275, 180
The greatest common divisor of numbers 949, 314, 275, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 949, 314, 275, 180 is 1.

1. What is the GCD of 949, 314, 275, 180?

GCD of given numbers 949, 314, 275, 180 is 1

2. How to calculate the greatest common divisor of 949, 314, 275, 180?

We can find the highest common divisor of 949, 314, 275, 180 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 949, 314, 275, 180 i.e 1.

3. How can I use the GCD of 949, 314, 275, 180Calculator?

Out the numbers 949, 314, 275, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.