GCD of 708, 291, 500, 138 Calculator

Given Input numbers are 708, 291, 500, 138

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

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 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (708, 291, 500, 138) = 1.

Given numbers are 708, 291, 500, 138

The list of prime factors of all numbers are

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

Prime factors of 291 are 3 x 97

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 138 are 2 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 708, 291, 500, 138

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

Apply this formula for all numbers.

Step1:

LCM(708, 291) = 68676

GCD(708, 291) = ( 708 x 291 ) / 68676

= 708 / 291

= 708

Step2:

LCM(3, 500) = 1500

GCD(3, 500) = ( 3 x 500 ) / 1500

= 3 / 500

= 3

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 708, 291, 500, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 342, 371, 525
• GCD of 220, 383, 858, 219
• GCD of 441, 639, 422, 103
• GCD of 315, 607, 750, 654
• GCD of 455, 903, 336, 754

Given numbers are 708, 291, 500, 138
The greatest common divisor of numbers 708, 291, 500, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 291, 500, 138 is 1.

1. What is the GCD of 708, 291, 500, 138?

GCD of given numbers 708, 291, 500, 138 is 1

2. How to calculate the greatest common divisor of 708, 291, 500, 138?

We can find the highest common divisor of 708, 291, 500, 138 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 708, 291, 500, 138 i.e 1.

3. How can I use the GCD of 708, 291, 500, 138Calculator?

Out the numbers 708, 291, 500, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.