GCD of 318, 978, 764, 976 Calculator

Given Input numbers are 318, 978, 764, 976

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (318, 978, 764, 976) = 2.

Given numbers are 318, 978, 764, 976

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 978 are 2 x 3 x 163

Prime factors of 764 are 2 x 2 x 191

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 318, 978, 764, 976 is 2.

Given numbers are 318, 978, 764, 976

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

Apply this formula for all numbers.

Step1:

LCM(318, 978) = 51834

GCD(318, 978) = ( 318 x 978 ) / 51834

= 318 / 978

= 318

Step2:

LCM(6, 764) = 2292

GCD(6, 764) = ( 6 x 764 ) / 2292

= 6 / 764

= 6

Step3:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

So, Greatest Common Divisor of 318, 978, 764, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 719, 488, 298
• GCD of 444, 374, 647, 489
• GCD of 612, 699, 507, 672
• GCD of 711, 618, 266, 340
• GCD of 999, 103, 349, 172

Given numbers are 318, 978, 764, 976
The greatest common divisor of numbers 318, 978, 764, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 978, 764, 976 is 2.

1. What is the GCD of 318, 978, 764, 976?

GCD of given numbers 318, 978, 764, 976 is 2

2. How to calculate the greatest common divisor of 318, 978, 764, 976?

We can find the highest common divisor of 318, 978, 764, 976 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 318, 978, 764, 976 i.e 2.

3. How can I use the GCD of 318, 978, 764, 976Calculator?

Out the numbers 318, 978, 764, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.