GCD of 736, 570, 120, 678 Calculator

Given Input numbers are 736, 570, 120, 678

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

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 678 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (736, 570, 120, 678) = 2.

Given numbers are 736, 570, 120, 678

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 570 are 2 x 3 x 5 x 19

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

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 736, 570, 120, 678 is 2.

Given numbers are 736, 570, 120, 678

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

Apply this formula for all numbers.

Step1:

LCM(736, 570) = 209760

GCD(736, 570) = ( 736 x 570 ) / 209760

= 736 / 570

= 736

Step2:

LCM(2, 120) = 120

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

= 2 / 120

= 2

Step3:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

So, Greatest Common Divisor of 736, 570, 120, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 954, 273, 709
• GCD of 397, 763, 699, 432
• GCD of 831, 626, 437, 787
• GCD of 515, 980, 191, 712
• GCD of 621, 180, 881, 776

Given numbers are 736, 570, 120, 678
The greatest common divisor of numbers 736, 570, 120, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 570, 120, 678 is 2.

1. What is the GCD of 736, 570, 120, 678?

GCD of given numbers 736, 570, 120, 678 is 2

2. How to calculate the greatest common divisor of 736, 570, 120, 678?

We can find the highest common divisor of 736, 570, 120, 678 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 736, 570, 120, 678 i.e 2.

3. How can I use the GCD of 736, 570, 120, 678Calculator?

Out the numbers 736, 570, 120, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.