GCD of 538, 960, 788, 977 Calculator

Given Input numbers are 538, 960, 788, 977

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (538, 960, 788, 977) = 1.

Given numbers are 538, 960, 788, 977

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 788 are 2 x 2 x 197

Prime factors of 977 are 977

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

Given numbers are 538, 960, 788, 977

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

Apply this formula for all numbers.

Step1:

LCM(538, 960) = 258240

GCD(538, 960) = ( 538 x 960 ) / 258240

= 538 / 960

= 538

Step2:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2

Step3:

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

= 2 / 977

= 2

So, Greatest Common Divisor of 538, 960, 788, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 319, 901, 178
• GCD of 936, 829, 192, 991
• GCD of 215, 407, 346, 824
• GCD of 191, 885, 513, 304
• GCD of 910, 892, 495, 762

Given numbers are 538, 960, 788, 977
The greatest common divisor of numbers 538, 960, 788, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 960, 788, 977 is 1.

1. What is the GCD of 538, 960, 788, 977?

GCD of given numbers 538, 960, 788, 977 is 1

2. How to calculate the greatest common divisor of 538, 960, 788, 977?

We can find the highest common divisor of 538, 960, 788, 977 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 538, 960, 788, 977 i.e 1.

3. How can I use the GCD of 538, 960, 788, 977Calculator?

Out the numbers 538, 960, 788, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.