GCD of 280, 688, 138, 789 Calculator

Given Input numbers are 280, 688, 138, 789

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 138 :

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

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (280, 688, 138, 789) = 1.

Given numbers are 280, 688, 138, 789

The list of prime factors of all numbers are

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 138 are 2 x 3 x 23

Prime factors of 789 are 3 x 263

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 280, 688, 138, 789

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

Apply this formula for all numbers.

Step1:

LCM(280, 688) = 24080

GCD(280, 688) = ( 280 x 688 ) / 24080

= 280 / 688

= 280

Step2:

LCM(8, 138) = 552

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

= 8 / 138

= 8

Step3:

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

= 2 / 789

= 2

So, Greatest Common Divisor of 280, 688, 138, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 665, 221, 722
• GCD of 404, 121, 225, 314
• GCD of 233, 256, 694, 890
• GCD of 168, 124, 787, 102
• GCD of 140, 806, 650, 158

Given numbers are 280, 688, 138, 789
The greatest common divisor of numbers 280, 688, 138, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 688, 138, 789 is 1.

1. What is the GCD of 280, 688, 138, 789?

GCD of given numbers 280, 688, 138, 789 is 1

2. How to calculate the greatest common divisor of 280, 688, 138, 789?

We can find the highest common divisor of 280, 688, 138, 789 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 280, 688, 138, 789 i.e 1.

3. How can I use the GCD of 280, 688, 138, 789Calculator?

Out the numbers 280, 688, 138, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.