GCD of 538, 396, 140, 314 Calculator

Given Input numbers are 538, 396, 140, 314

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (538, 396, 140, 314) = 2.

Given numbers are 538, 396, 140, 314

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

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

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 538, 396, 140, 314 is 2.

Given numbers are 538, 396, 140, 314

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

Apply this formula for all numbers.

Step1:

LCM(538, 396) = 106524

GCD(538, 396) = ( 538 x 396 ) / 106524

= 538 / 396

= 538

Step2:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 538, 396, 140, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 437, 570, 223
• GCD of 828, 225, 674, 723
• GCD of 364, 175, 513, 672
• GCD of 540, 515, 116, 725
• GCD of 182, 322, 652, 166

Given numbers are 538, 396, 140, 314
The greatest common divisor of numbers 538, 396, 140, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 396, 140, 314 is 2.

1. What is the GCD of 538, 396, 140, 314?

GCD of given numbers 538, 396, 140, 314 is 2

2. How to calculate the greatest common divisor of 538, 396, 140, 314?

We can find the highest common divisor of 538, 396, 140, 314 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 538, 396, 140, 314 i.e 2.

3. How can I use the GCD of 538, 396, 140, 314Calculator?

Out the numbers 538, 396, 140, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.