GCD of 790, 120, 298, 872 Calculator

Given Input numbers are 790, 120, 298, 872

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

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (790, 120, 298, 872) = 2.

Given numbers are 790, 120, 298, 872

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 298 are 2 x 149

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 790, 120, 298, 872 is 2.

Given numbers are 790, 120, 298, 872

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

Apply this formula for all numbers.

Step1:

LCM(790, 120) = 9480

GCD(790, 120) = ( 790 x 120 ) / 9480

= 790 / 120

= 790

Step2:

LCM(10, 298) = 1490

GCD(10, 298) = ( 10 x 298 ) / 1490

= 10 / 298

= 10

Step3:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

So, Greatest Common Divisor of 790, 120, 298, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 547, 621, 246
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Given numbers are 790, 120, 298, 872
The greatest common divisor of numbers 790, 120, 298, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 120, 298, 872 is 2.

1. What is the GCD of 790, 120, 298, 872?

GCD of given numbers 790, 120, 298, 872 is 2

2. How to calculate the greatest common divisor of 790, 120, 298, 872?

We can find the highest common divisor of 790, 120, 298, 872 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 790, 120, 298, 872 i.e 2.

3. How can I use the GCD of 790, 120, 298, 872Calculator?

Out the numbers 790, 120, 298, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.