GCD of 827, 108, 142, 292 Calculator

Given Input numbers are 827, 108, 142, 292

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

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 292 :

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

1, 2, 4, 73, 146, 292

GCD of numbers is the greatest common divisor

So, the GCD (827, 108, 142, 292) = 1.

Given numbers are 827, 108, 142, 292

The list of prime factors of all numbers are

Prime factors of 827 are 827

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 142 are 2 x 71

Prime factors of 292 are 2 x 2 x 73

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

Given numbers are 827, 108, 142, 292

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

Apply this formula for all numbers.

Step1:

LCM(827, 108) = 89316

GCD(827, 108) = ( 827 x 108 ) / 89316

= 827 / 108

= 827

Step2:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

Step3:

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

= 1 / 292

= 1

So, Greatest Common Divisor of 827, 108, 142, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 733, 650, 964
• GCD of 140, 793, 403, 892
• GCD of 787, 826, 928, 747
• GCD of 217, 213, 933, 435
• GCD of 789, 211, 399, 616

Given numbers are 827, 108, 142, 292
The greatest common divisor of numbers 827, 108, 142, 292 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 108, 142, 292 is 1.

1. What is the GCD of 827, 108, 142, 292?

GCD of given numbers 827, 108, 142, 292 is 1

2. How to calculate the greatest common divisor of 827, 108, 142, 292?

We can find the highest common divisor of 827, 108, 142, 292 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 827, 108, 142, 292 i.e 1.

3. How can I use the GCD of 827, 108, 142, 292Calculator?

Out the numbers 827, 108, 142, 292 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.