GCD of 542, 782, 379, 728 Calculator

Given Input numbers are 542, 782, 379, 728

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 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (542, 782, 379, 728) = 1.

Given numbers are 542, 782, 379, 728

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 782 are 2 x 17 x 23

Prime factors of 379 are 379

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 542, 782, 379, 728

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

Apply this formula for all numbers.

Step1:

LCM(542, 782) = 211922

GCD(542, 782) = ( 542 x 782 ) / 211922

= 542 / 782

= 542

Step2:

LCM(2, 379) = 758

GCD(2, 379) = ( 2 x 379 ) / 758

= 2 / 379

= 2

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 542, 782, 379, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 161, 886, 671, 852
• GCD of 862, 969, 889, 874
• GCD of 266, 814, 919, 944
• GCD of 917, 761, 895, 831
• GCD of 137, 829, 257, 279

Given numbers are 542, 782, 379, 728
The greatest common divisor of numbers 542, 782, 379, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 782, 379, 728 is 1.

1. What is the GCD of 542, 782, 379, 728?

GCD of given numbers 542, 782, 379, 728 is 1

2. How to calculate the greatest common divisor of 542, 782, 379, 728?

We can find the highest common divisor of 542, 782, 379, 728 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, 782, 379, 728 i.e 1.

3. How can I use the GCD of 542, 782, 379, 728Calculator?

Out the numbers 542, 782, 379, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.