GCD of 116, 262, 388, 784 Calculator

Given Input numbers are 116, 262, 388, 784

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

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

GCD of numbers is the greatest common divisor

So, the GCD (116, 262, 388, 784) = 2.

Given numbers are 116, 262, 388, 784

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 262 are 2 x 131

Prime factors of 388 are 2 x 2 x 97

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

The highest common occurrence is 2¹

Therefore, GCD of 116, 262, 388, 784 is 2.

Given numbers are 116, 262, 388, 784

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

Apply this formula for all numbers.

Step1:

LCM(116, 262) = 15196

GCD(116, 262) = ( 116 x 262 ) / 15196

= 116 / 262

= 116

Step2:

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

= 2 / 388

= 2

Step3:

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

= 2 / 784

= 2

So, Greatest Common Divisor of 116, 262, 388, 784 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 261, 537, 291
• GCD of 968, 526, 928, 642
• GCD of 351, 491, 562, 797
• GCD of 622, 106, 585, 159
• GCD of 496, 320, 278, 258

Given numbers are 116, 262, 388, 784
The greatest common divisor of numbers 116, 262, 388, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 262, 388, 784 is 2.

1. What is the GCD of 116, 262, 388, 784?

GCD of given numbers 116, 262, 388, 784 is 2

2. How to calculate the greatest common divisor of 116, 262, 388, 784?

We can find the highest common divisor of 116, 262, 388, 784 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 116, 262, 388, 784 i.e 2.

3. How can I use the GCD of 116, 262, 388, 784Calculator?

Out the numbers 116, 262, 388, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.