GCD of 344, 260, 976, 508 Calculator

Given Input numbers are 344, 260, 976, 508

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

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

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (344, 260, 976, 508) = 4.

Given numbers are 344, 260, 976, 508

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 260 are 2 x 2 x 5 x 13

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

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2²

Therefore, GCD of 344, 260, 976, 508 is 4.

Given numbers are 344, 260, 976, 508

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

Apply this formula for all numbers.

Step1:

LCM(344, 260) = 22360

GCD(344, 260) = ( 344 x 260 ) / 22360

= 344 / 260

= 344

Step2:

LCM(4, 976) = 976

GCD(4, 976) = ( 4 x 976 ) / 976

= 4 / 976

= 4

Step3:

LCM(4, 508) = 508

GCD(4, 508) = ( 4 x 508 ) / 508

= 4 / 508

= 4

So, Greatest Common Divisor of 344, 260, 976, 508 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 458, 617, 464
• GCD of 171, 424, 191, 895
• GCD of 597, 910, 256, 177
• GCD of 772, 184, 340, 441
• GCD of 139, 548, 540, 373

Given numbers are 344, 260, 976, 508
The greatest common divisor of numbers 344, 260, 976, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 260, 976, 508 is 4.

1. What is the GCD of 344, 260, 976, 508?

GCD of given numbers 344, 260, 976, 508 is 4

2. How to calculate the greatest common divisor of 344, 260, 976, 508?

We can find the highest common divisor of 344, 260, 976, 508 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 344, 260, 976, 508 i.e 4.

3. How can I use the GCD of 344, 260, 976, 508Calculator?

Out the numbers 344, 260, 976, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.