GCD of 538, 708, 208, 700 Calculator

Given Input numbers are 538, 708, 208, 700

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (538, 708, 208, 700) = 2.

Given numbers are 538, 708, 208, 700

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 708 are 2 x 2 x 3 x 59

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

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 538, 708, 208, 700 is 2.

Given numbers are 538, 708, 208, 700

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

Apply this formula for all numbers.

Step1:

LCM(538, 708) = 190452

GCD(538, 708) = ( 538 x 708 ) / 190452

= 538 / 708

= 538

Step2:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

Step3:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 538, 708, 208, 700 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 414, 487, 162
• GCD of 862, 788, 584, 218
• GCD of 467, 775, 237, 892
• GCD of 827, 335, 369, 189
• GCD of 885, 413, 985, 253

Given numbers are 538, 708, 208, 700
The greatest common divisor of numbers 538, 708, 208, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 708, 208, 700 is 2.

1. What is the GCD of 538, 708, 208, 700?

GCD of given numbers 538, 708, 208, 700 is 2

2. How to calculate the greatest common divisor of 538, 708, 208, 700?

We can find the highest common divisor of 538, 708, 208, 700 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, 708, 208, 700 i.e 2.

3. How can I use the GCD of 538, 708, 208, 700Calculator?

Out the numbers 538, 708, 208, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.