GCD of 542, 490, 871, 512 Calculator

Given Input numbers are 542, 490, 871, 512

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

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

GCD of numbers is the greatest common divisor

So, the GCD (542, 490, 871, 512) = 1.

Given numbers are 542, 490, 871, 512

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 871 are 13 x 67

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Given numbers are 542, 490, 871, 512

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

Apply this formula for all numbers.

Step1:

LCM(542, 490) = 132790

GCD(542, 490) = ( 542 x 490 ) / 132790

= 542 / 490

= 542

Step2:

LCM(2, 871) = 1742

GCD(2, 871) = ( 2 x 871 ) / 1742

= 2 / 871

= 2

Step3:

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

= 1 / 512

= 1

So, Greatest Common Divisor of 542, 490, 871, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 875, 287, 956
• GCD of 878, 661, 668, 752
• GCD of 988, 612, 291, 138
• GCD of 680, 206, 321, 829
• GCD of 712, 609, 953, 940

Given numbers are 542, 490, 871, 512
The greatest common divisor of numbers 542, 490, 871, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 490, 871, 512 is 1.

1. What is the GCD of 542, 490, 871, 512?

GCD of given numbers 542, 490, 871, 512 is 1

2. How to calculate the greatest common divisor of 542, 490, 871, 512?

We can find the highest common divisor of 542, 490, 871, 512 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 542, 490, 871, 512 i.e 1.

3. How can I use the GCD of 542, 490, 871, 512Calculator?

Out the numbers 542, 490, 871, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.