GCD of 916, 136, 538, 496 Calculator

Given Input numbers are 916, 136, 538, 496

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 538 :

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

1, 2, 269, 538

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (916, 136, 538, 496) = 2.

Given numbers are 916, 136, 538, 496

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 538 are 2 x 269

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 916, 136, 538, 496 is 2.

Given numbers are 916, 136, 538, 496

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

Apply this formula for all numbers.

Step1:

LCM(916, 136) = 31144

GCD(916, 136) = ( 916 x 136 ) / 31144

= 916 / 136

= 916

Step2:

LCM(4, 538) = 1076

GCD(4, 538) = ( 4 x 538 ) / 1076

= 4 / 538

= 4

Step3:

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

= 2 / 496

= 2

So, Greatest Common Divisor of 916, 136, 538, 496 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 175, 802, 260
• GCD of 544, 373, 220, 126
• GCD of 676, 176, 126, 701
• GCD of 772, 271, 820, 112
• GCD of 508, 595, 579, 552

Given numbers are 916, 136, 538, 496
The greatest common divisor of numbers 916, 136, 538, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 136, 538, 496 is 2.

1. What is the GCD of 916, 136, 538, 496?

GCD of given numbers 916, 136, 538, 496 is 2

2. How to calculate the greatest common divisor of 916, 136, 538, 496?

We can find the highest common divisor of 916, 136, 538, 496 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 916, 136, 538, 496 i.e 2.

3. How can I use the GCD of 916, 136, 538, 496Calculator?

Out the numbers 916, 136, 538, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.