GCD of 590, 678, 120, 358 Calculator

Given Input numbers are 590, 678, 120, 358

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

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (590, 678, 120, 358) = 2.

Given numbers are 590, 678, 120, 358

The list of prime factors of all numbers are

Prime factors of 590 are 2 x 5 x 59

Prime factors of 678 are 2 x 3 x 113

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

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 590, 678, 120, 358 is 2.

Given numbers are 590, 678, 120, 358

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

Apply this formula for all numbers.

Step1:

LCM(590, 678) = 200010

GCD(590, 678) = ( 590 x 678 ) / 200010

= 590 / 678

= 590

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 590, 678, 120, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 568, 598, 688
• GCD of 112, 292, 277, 185
• GCD of 339, 975, 653, 851
• GCD of 522, 379, 976, 843
• GCD of 756, 795, 347, 665

Given numbers are 590, 678, 120, 358
The greatest common divisor of numbers 590, 678, 120, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 590, 678, 120, 358 is 2.

1. What is the GCD of 590, 678, 120, 358?

GCD of given numbers 590, 678, 120, 358 is 2

2. How to calculate the greatest common divisor of 590, 678, 120, 358?

We can find the highest common divisor of 590, 678, 120, 358 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 590, 678, 120, 358 i.e 2.

3. How can I use the GCD of 590, 678, 120, 358Calculator?

Out the numbers 590, 678, 120, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.