GCD of 513, 978, 991, 508 Calculator

Given Input numbers are 513, 978, 991, 508

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 978 :

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

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

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (513, 978, 991, 508) = 1.

Given numbers are 513, 978, 991, 508

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 978 are 2 x 3 x 163

Prime factors of 991 are 991

Prime factors of 508 are 2 x 2 x 127

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

Given numbers are 513, 978, 991, 508

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

Apply this formula for all numbers.

Step1:

LCM(513, 978) = 167238

GCD(513, 978) = ( 513 x 978 ) / 167238

= 513 / 978

= 513

Step2:

LCM(3, 991) = 2973

GCD(3, 991) = ( 3 x 991 ) / 2973

= 3 / 991

= 3

Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

So, Greatest Common Divisor of 513, 978, 991, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 143, 788, 284
• GCD of 921, 721, 406, 615
• GCD of 453, 325, 721, 948
• GCD of 738, 958, 336, 973
• GCD of 177, 169, 747, 461

Given numbers are 513, 978, 991, 508
The greatest common divisor of numbers 513, 978, 991, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 978, 991, 508 is 1.

1. What is the GCD of 513, 978, 991, 508?

GCD of given numbers 513, 978, 991, 508 is 1

2. How to calculate the greatest common divisor of 513, 978, 991, 508?

We can find the highest common divisor of 513, 978, 991, 508 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 513, 978, 991, 508 i.e 1.

3. How can I use the GCD of 513, 978, 991, 508Calculator?

Out the numbers 513, 978, 991, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.