GCD of 798, 978, 580, 402 Calculator

Given Input numbers are 798, 978, 580, 402

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

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 978 :

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

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (798, 978, 580, 402) = 2.

Given numbers are 798, 978, 580, 402

The list of prime factors of all numbers are

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 978 are 2 x 3 x 163

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 798, 978, 580, 402 is 2.

Given numbers are 798, 978, 580, 402

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

Apply this formula for all numbers.

Step1:

LCM(798, 978) = 130074

GCD(798, 978) = ( 798 x 978 ) / 130074

= 798 / 978

= 798

Step2:

LCM(6, 580) = 1740

GCD(6, 580) = ( 6 x 580 ) / 1740

= 6 / 580

= 6

Step3:

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

= 2 / 402

= 2

So, Greatest Common Divisor of 798, 978, 580, 402 is 2

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Given numbers are 798, 978, 580, 402
The greatest common divisor of numbers 798, 978, 580, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 978, 580, 402 is 2.

1. What is the GCD of 798, 978, 580, 402?

GCD of given numbers 798, 978, 580, 402 is 2

2. How to calculate the greatest common divisor of 798, 978, 580, 402?

We can find the highest common divisor of 798, 978, 580, 402 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 798, 978, 580, 402 i.e 2.

3. How can I use the GCD of 798, 978, 580, 402Calculator?

Out the numbers 798, 978, 580, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.