GCD of 202, 208, 724, 116 Calculator

Given Input numbers are 202, 208, 724, 116

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

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 116 :

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

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (202, 208, 724, 116) = 2.

Given numbers are 202, 208, 724, 116

The list of prime factors of all numbers are

Prime factors of 202 are 2 x 101

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 724 are 2 x 2 x 181

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 202, 208, 724, 116 is 2.

Given numbers are 202, 208, 724, 116

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

Apply this formula for all numbers.

Step1:

LCM(202, 208) = 21008

GCD(202, 208) = ( 202 x 208 ) / 21008

= 202 / 208

= 202

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

Step3:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

So, Greatest Common Divisor of 202, 208, 724, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 500, 566, 551
• GCD of 911, 748, 250, 713
• GCD of 157, 583, 444, 437
• GCD of 320, 116, 523, 392
• GCD of 249, 560, 671, 840

Given numbers are 202, 208, 724, 116
The greatest common divisor of numbers 202, 208, 724, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 202, 208, 724, 116 is 2.

1. What is the GCD of 202, 208, 724, 116?

GCD of given numbers 202, 208, 724, 116 is 2

2. How to calculate the greatest common divisor of 202, 208, 724, 116?

We can find the highest common divisor of 202, 208, 724, 116 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 202, 208, 724, 116 i.e 2.

3. How can I use the GCD of 202, 208, 724, 116Calculator?

Out the numbers 202, 208, 724, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.