GCD of 120, 696, 64, 138 Calculator

Given Input numbers are 120, 696, 64, 138

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

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (120, 696, 64, 138) = 2.

Given numbers are 120, 696, 64, 138

The list of prime factors of all numbers are

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

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 120, 696, 64, 138 is 2.

Given numbers are 120, 696, 64, 138

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

Apply this formula for all numbers.

Step1:

LCM(120, 696) = 3480

GCD(120, 696) = ( 120 x 696 ) / 3480

= 120 / 696

= 120

Step2:

LCM(24, 64) = 192

GCD(24, 64) = ( 24 x 64 ) / 192

= 24 / 64

= 24

Step3:

LCM(8, 138) = 552

GCD(8, 138) = ( 8 x 138 ) / 552

= 8 / 138

= 8

So, Greatest Common Divisor of 120, 696, 64, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 675, 26, 764
• GCD of 665, 681, 83, 578
• GCD of 378, 280, 92, 713
• GCD of 935, 744, 33, 114
• GCD of 580, 295, 23, 915

Given numbers are 120, 696, 64, 138
The greatest common divisor of numbers 120, 696, 64, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 696, 64, 138 is 2.

1. What is the GCD of 120, 696, 64, 138?

GCD of given numbers 120, 696, 64, 138 is 2

2. How to calculate the greatest common divisor of 120, 696, 64, 138?

We can find the highest common divisor of 120, 696, 64, 138 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 120, 696, 64, 138 i.e 2.

3. How can I use the GCD of 120, 696, 64, 138Calculator?

Out the numbers 120, 696, 64, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.