GCD of 509, 978, 988, 957 Calculator

Given Input numbers are 509, 978, 988, 957

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 978 :

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

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

GCD of numbers is the greatest common divisor

So, the GCD (509, 978, 988, 957) = 1.

Given numbers are 509, 978, 988, 957

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 978 are 2 x 3 x 163

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 957 are 3 x 11 x 29

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

Given numbers are 509, 978, 988, 957

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

Apply this formula for all numbers.

Step1:

LCM(509, 978) = 497802

GCD(509, 978) = ( 509 x 978 ) / 497802

= 509 / 978

= 509

Step2:

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

= 1 / 988

= 1

Step3:

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

= 1 / 957

= 1

So, Greatest Common Divisor of 509, 978, 988, 957 is 1

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Given numbers are 509, 978, 988, 957
The greatest common divisor of numbers 509, 978, 988, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 978, 988, 957 is 1.

1. What is the GCD of 509, 978, 988, 957?

GCD of given numbers 509, 978, 988, 957 is 1

2. How to calculate the greatest common divisor of 509, 978, 988, 957?

We can find the highest common divisor of 509, 978, 988, 957 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 509, 978, 988, 957 i.e 1.

3. How can I use the GCD of 509, 978, 988, 957Calculator?

Out the numbers 509, 978, 988, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.