GCD of 508, 784, 140, 344 Calculator

Given Input numbers are 508, 784, 140, 344

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

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 344 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (508, 784, 140, 344) = 4.

Given numbers are 508, 784, 140, 344

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 140 are 2 x 2 x 5 x 7

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

The highest common occurrence is 2²

Therefore, GCD of 508, 784, 140, 344 is 4.

Given numbers are 508, 784, 140, 344

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

Apply this formula for all numbers.

Step1:

LCM(508, 784) = 99568

GCD(508, 784) = ( 508 x 784 ) / 99568

= 508 / 784

= 508

Step2:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4

Step3:

LCM(4, 344) = 344

GCD(4, 344) = ( 4 x 344 ) / 344

= 4 / 344

= 4

So, Greatest Common Divisor of 508, 784, 140, 344 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 756, 806, 322
• GCD of 434, 525, 963, 246
• GCD of 848, 474, 764, 860
• GCD of 522, 476, 182, 827
• GCD of 269, 518, 267, 939

Given numbers are 508, 784, 140, 344
The greatest common divisor of numbers 508, 784, 140, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 784, 140, 344 is 4.

1. What is the GCD of 508, 784, 140, 344?

GCD of given numbers 508, 784, 140, 344 is 4

2. How to calculate the greatest common divisor of 508, 784, 140, 344?

We can find the highest common divisor of 508, 784, 140, 344 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 508, 784, 140, 344 i.e 4.

3. How can I use the GCD of 508, 784, 140, 344Calculator?

Out the numbers 508, 784, 140, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.