GCD of 576, 860, 674, 120 Calculator

Given Input numbers are 576, 860, 674, 120

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

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

GCD of numbers is the greatest common divisor

So, the GCD (576, 860, 674, 120) = 2.

Given numbers are 576, 860, 674, 120

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 674 are 2 x 337

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

The highest common occurrence is 2¹

Therefore, GCD of 576, 860, 674, 120 is 2.

Given numbers are 576, 860, 674, 120

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

Apply this formula for all numbers.

Step1:

LCM(576, 860) = 123840

GCD(576, 860) = ( 576 x 860 ) / 123840

= 576 / 860

= 576

Step2:

LCM(4, 674) = 1348

GCD(4, 674) = ( 4 x 674 ) / 1348

= 4 / 674

= 4

Step3:

LCM(2, 120) = 120

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

= 2 / 120

= 2

So, Greatest Common Divisor of 576, 860, 674, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 905, 897, 764
• GCD of 960, 607, 931, 697
• GCD of 448, 585, 513, 637
• GCD of 890, 733, 639, 757
• GCD of 606, 778, 334, 913

Given numbers are 576, 860, 674, 120
The greatest common divisor of numbers 576, 860, 674, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 860, 674, 120 is 2.

1. What is the GCD of 576, 860, 674, 120?

GCD of given numbers 576, 860, 674, 120 is 2

2. How to calculate the greatest common divisor of 576, 860, 674, 120?

We can find the highest common divisor of 576, 860, 674, 120 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 576, 860, 674, 120 i.e 2.

3. How can I use the GCD of 576, 860, 674, 120Calculator?

Out the numbers 576, 860, 674, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.