GCD of 278, 972, 403, 990 Calculator

Given Input numbers are 278, 972, 403, 990

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

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 403 :

The positive integer divisors of 403 that completely divides 403 are.

1, 13, 31, 403

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (278, 972, 403, 990) = 1.

Given numbers are 278, 972, 403, 990

The list of prime factors of all numbers are

Prime factors of 278 are 2 x 139

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 403 are 13 x 31

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 278, 972, 403, 990

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

Apply this formula for all numbers.

Step1:

LCM(278, 972) = 135108

GCD(278, 972) = ( 278 x 972 ) / 135108

= 278 / 972

= 278

Step2:

LCM(2, 403) = 806

GCD(2, 403) = ( 2 x 403 ) / 806

= 2 / 403

= 2

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 278, 972, 403, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 867, 575, 825
• GCD of 124, 461, 191, 873
• GCD of 438, 453, 340, 250
• GCD of 697, 368, 736, 894
• GCD of 780, 414, 227, 707

Given numbers are 278, 972, 403, 990
The greatest common divisor of numbers 278, 972, 403, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 972, 403, 990 is 1.

1. What is the GCD of 278, 972, 403, 990?

GCD of given numbers 278, 972, 403, 990 is 1

2. How to calculate the greatest common divisor of 278, 972, 403, 990?

We can find the highest common divisor of 278, 972, 403, 990 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 278, 972, 403, 990 i.e 1.

3. How can I use the GCD of 278, 972, 403, 990Calculator?

Out the numbers 278, 972, 403, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.