GCD of 978, 633, 426, 984 Calculator

Given Input numbers are 978, 633, 426, 984

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 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (978, 633, 426, 984) = 3.

Given numbers are 978, 633, 426, 984

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 633 are 3 x 211

Prime factors of 426 are 2 x 3 x 71

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 978, 633, 426, 984 is 3.

Given numbers are 978, 633, 426, 984

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

Apply this formula for all numbers.

Step1:

LCM(978, 633) = 206358

GCD(978, 633) = ( 978 x 633 ) / 206358

= 978 / 633

= 978

Step2:

LCM(3, 426) = 426

GCD(3, 426) = ( 3 x 426 ) / 426

= 3 / 426

= 3

Step3:

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

= 3 / 984

= 3

So, Greatest Common Divisor of 978, 633, 426, 984 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 210, 938, 326
• GCD of 617, 103, 428, 155
• GCD of 995, 824, 483, 805
• GCD of 635, 835, 628, 982
• GCD of 469, 473, 309, 230

Given numbers are 978, 633, 426, 984
The greatest common divisor of numbers 978, 633, 426, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 633, 426, 984 is 3.

1. What is the GCD of 978, 633, 426, 984?

GCD of given numbers 978, 633, 426, 984 is 3

2. How to calculate the greatest common divisor of 978, 633, 426, 984?

We can find the highest common divisor of 978, 633, 426, 984 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, 633, 426, 984 i.e 3.

3. How can I use the GCD of 978, 633, 426, 984Calculator?

Out the numbers 978, 633, 426, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.