GCD of 742, 912, 20, 879 Calculator

Given Input numbers are 742, 912, 20, 879

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

GCD of numbers is the greatest common divisor

So, the GCD (742, 912, 20, 879) = 1.

Given numbers are 742, 912, 20, 879

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 20 are 2 x 2 x 5

Prime factors of 879 are 3 x 293

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

Given numbers are 742, 912, 20, 879

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

Apply this formula for all numbers.

Step1:

LCM(742, 912) = 338352

GCD(742, 912) = ( 742 x 912 ) / 338352

= 742 / 912

= 742

Step2:

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

= 2 / 20

= 2

Step3:

LCM(2, 879) = 1758

GCD(2, 879) = ( 2 x 879 ) / 1758

= 2 / 879

= 2

So, Greatest Common Divisor of 742, 912, 20, 879 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 721, 87, 916
• GCD of 490, 553, 72, 130
• GCD of 193, 115, 71, 331
• GCD of 894, 898, 99, 314
• GCD of 372, 114, 71, 442

Given numbers are 742, 912, 20, 879
The greatest common divisor of numbers 742, 912, 20, 879 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 912, 20, 879 is 1.

1. What is the GCD of 742, 912, 20, 879?

GCD of given numbers 742, 912, 20, 879 is 1

2. How to calculate the greatest common divisor of 742, 912, 20, 879?

We can find the highest common divisor of 742, 912, 20, 879 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 742, 912, 20, 879 i.e 1.

3. How can I use the GCD of 742, 912, 20, 879Calculator?

Out the numbers 742, 912, 20, 879 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.