GCD of 978, 531, 702, 318 Calculator

Given Input numbers are 978, 531, 702, 318

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

Divisors of 978 :

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

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

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 318 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (978, 531, 702, 318) = 3.

Given numbers are 978, 531, 702, 318

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 531 are 3 x 3 x 59

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 978, 531, 702, 318 is 3.

Given numbers are 978, 531, 702, 318

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

Apply this formula for all numbers.

Step1:

LCM(978, 531) = 173106

GCD(978, 531) = ( 978 x 531 ) / 173106

= 978 / 531

= 978

Step2:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

Step3:

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

= 3 / 318

= 3

So, Greatest Common Divisor of 978, 531, 702, 318 is 3

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Given numbers are 978, 531, 702, 318
The greatest common divisor of numbers 978, 531, 702, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 531, 702, 318 is 3.

1. What is the GCD of 978, 531, 702, 318?

GCD of given numbers 978, 531, 702, 318 is 3

2. How to calculate the greatest common divisor of 978, 531, 702, 318?

We can find the highest common divisor of 978, 531, 702, 318 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 978, 531, 702, 318 i.e 3.

3. How can I use the GCD of 978, 531, 702, 318Calculator?

Out the numbers 978, 531, 702, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.