GCD of 854, 138, 688, 232 Calculator

Given Input numbers are 854, 138, 688, 232

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 138 :

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

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

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 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

GCD of numbers is the greatest common divisor

So, the GCD (854, 138, 688, 232) = 2.

Given numbers are 854, 138, 688, 232

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

Prime factors of 138 are 2 x 3 x 23

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

Prime factors of 232 are 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 854, 138, 688, 232 is 2.

Given numbers are 854, 138, 688, 232

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

Apply this formula for all numbers.

Step1:

LCM(854, 138) = 58926

GCD(854, 138) = ( 854 x 138 ) / 58926

= 854 / 138

= 854

Step2:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

Step3:

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

= 2 / 232

= 2

So, Greatest Common Divisor of 854, 138, 688, 232 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 396, 468, 261
• GCD of 574, 938, 221, 858
• GCD of 819, 598, 361, 609
• GCD of 230, 545, 409, 139
• GCD of 409, 424, 901, 801

Given numbers are 854, 138, 688, 232
The greatest common divisor of numbers 854, 138, 688, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 138, 688, 232 is 2.

1. What is the GCD of 854, 138, 688, 232?

GCD of given numbers 854, 138, 688, 232 is 2

2. How to calculate the greatest common divisor of 854, 138, 688, 232?

We can find the highest common divisor of 854, 138, 688, 232 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 854, 138, 688, 232 i.e 2.

3. How can I use the GCD of 854, 138, 688, 232Calculator?

Out the numbers 854, 138, 688, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.