GCD of 292, 138, 807, 872 Calculator

Given Input numbers are 292, 138, 807, 872

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

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 138 :

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

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

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (292, 138, 807, 872) = 1.

Given numbers are 292, 138, 807, 872

The list of prime factors of all numbers are

Prime factors of 292 are 2 x 2 x 73

Prime factors of 138 are 2 x 3 x 23

Prime factors of 807 are 3 x 269

Prime factors of 872 are 2 x 2 x 2 x 109

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

Given numbers are 292, 138, 807, 872

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

Apply this formula for all numbers.

Step1:

LCM(292, 138) = 20148

GCD(292, 138) = ( 292 x 138 ) / 20148

= 292 / 138

= 292

Step2:

LCM(2, 807) = 1614

GCD(2, 807) = ( 2 x 807 ) / 1614

= 2 / 807

= 2

Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

So, Greatest Common Divisor of 292, 138, 807, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 809, 865, 150
• GCD of 233, 363, 360, 590
• GCD of 637, 653, 881, 258
• GCD of 256, 622, 845, 272
• GCD of 183, 289, 245, 445

Given numbers are 292, 138, 807, 872
The greatest common divisor of numbers 292, 138, 807, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 292, 138, 807, 872 is 1.

1. What is the GCD of 292, 138, 807, 872?

GCD of given numbers 292, 138, 807, 872 is 1

2. How to calculate the greatest common divisor of 292, 138, 807, 872?

We can find the highest common divisor of 292, 138, 807, 872 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 292, 138, 807, 872 i.e 1.

3. How can I use the GCD of 292, 138, 807, 872Calculator?

Out the numbers 292, 138, 807, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.