GCD of 513, 774, 978, 958 Calculator

Given Input numbers are 513, 774, 978, 958

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 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 978 :

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

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

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

GCD of numbers is the greatest common divisor

So, the GCD (513, 774, 978, 958) = 1.

Given numbers are 513, 774, 978, 958

The list of prime factors of all numbers are

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

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 978 are 2 x 3 x 163

Prime factors of 958 are 2 x 479

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

Given numbers are 513, 774, 978, 958

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

Apply this formula for all numbers.

Step1:

LCM(513, 774) = 44118

GCD(513, 774) = ( 513 x 774 ) / 44118

= 513 / 774

= 513

Step2:

LCM(9, 978) = 2934

GCD(9, 978) = ( 9 x 978 ) / 2934

= 9 / 978

= 9

Step3:

LCM(3, 958) = 2874

GCD(3, 958) = ( 3 x 958 ) / 2874

= 3 / 958

= 3

So, Greatest Common Divisor of 513, 774, 978, 958 is 1

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Given numbers are 513, 774, 978, 958
The greatest common divisor of numbers 513, 774, 978, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 774, 978, 958 is 1.

1. What is the GCD of 513, 774, 978, 958?

GCD of given numbers 513, 774, 978, 958 is 1

2. How to calculate the greatest common divisor of 513, 774, 978, 958?

We can find the highest common divisor of 513, 774, 978, 958 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, 774, 978, 958 i.e 1.

3. How can I use the GCD of 513, 774, 978, 958Calculator?

Out the numbers 513, 774, 978, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.