GCD of 308, 138, 992, 668 Calculator

Given Input numbers are 308, 138, 992, 668

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 138 :

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

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

GCD of numbers is the greatest common divisor

So, the GCD (308, 138, 992, 668) = 2.

Given numbers are 308, 138, 992, 668

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 138 are 2 x 3 x 23

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 668 are 2 x 2 x 167

The highest common occurrence is 2¹

Therefore, GCD of 308, 138, 992, 668 is 2.

Given numbers are 308, 138, 992, 668

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

Apply this formula for all numbers.

Step1:

LCM(308, 138) = 21252

GCD(308, 138) = ( 308 x 138 ) / 21252

= 308 / 138

= 308

Step2:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

Step3:

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

= 2 / 668

= 2

So, Greatest Common Divisor of 308, 138, 992, 668 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 297, 145, 456
• GCD of 279, 506, 961, 623
• GCD of 994, 900, 635, 893
• GCD of 485, 766, 590, 824
• GCD of 758, 385, 830, 795

Given numbers are 308, 138, 992, 668
The greatest common divisor of numbers 308, 138, 992, 668 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 138, 992, 668 is 2.

1. What is the GCD of 308, 138, 992, 668?

GCD of given numbers 308, 138, 992, 668 is 2

2. How to calculate the greatest common divisor of 308, 138, 992, 668?

We can find the highest common divisor of 308, 138, 992, 668 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 308, 138, 992, 668 i.e 2.

3. How can I use the GCD of 308, 138, 992, 668Calculator?

Out the numbers 308, 138, 992, 668 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.