GCD of 308, 976, 268, 284 Calculator

Given Input numbers are 308, 976, 268, 284

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 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (308, 976, 268, 284) = 4.

Given numbers are 308, 976, 268, 284

The list of prime factors of all numbers are

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

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 268 are 2 x 2 x 67

Prime factors of 284 are 2 x 2 x 71

The highest common occurrence is 2²

Therefore, GCD of 308, 976, 268, 284 is 4.

Given numbers are 308, 976, 268, 284

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

Apply this formula for all numbers.

Step1:

LCM(308, 976) = 75152

GCD(308, 976) = ( 308 x 976 ) / 75152

= 308 / 976

= 308

Step2:

LCM(4, 268) = 268

GCD(4, 268) = ( 4 x 268 ) / 268

= 4 / 268

= 4

Step3:

LCM(4, 284) = 284

GCD(4, 284) = ( 4 x 284 ) / 284

= 4 / 284

= 4

So, Greatest Common Divisor of 308, 976, 268, 284 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 876, 309, 488
• GCD of 215, 283, 344, 598
• GCD of 831, 773, 660, 182
• GCD of 588, 765, 880, 814
• GCD of 198, 411, 629, 270

Given numbers are 308, 976, 268, 284
The greatest common divisor of numbers 308, 976, 268, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 976, 268, 284 is 4.

1. What is the GCD of 308, 976, 268, 284?

GCD of given numbers 308, 976, 268, 284 is 4

2. How to calculate the greatest common divisor of 308, 976, 268, 284?

We can find the highest common divisor of 308, 976, 268, 284 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, 976, 268, 284 i.e 4.

3. How can I use the GCD of 308, 976, 268, 284Calculator?

Out the numbers 308, 976, 268, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.