GCD of 782, 392, 925, 842 Calculator

Given Input numbers are 782, 392, 925, 842

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

Divisors of 782 :

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

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (782, 392, 925, 842) = 1.

Given numbers are 782, 392, 925, 842

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 925 are 5 x 5 x 37

Prime factors of 842 are 2 x 421

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

Given numbers are 782, 392, 925, 842

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

Apply this formula for all numbers.

Step1:

LCM(782, 392) = 153272

GCD(782, 392) = ( 782 x 392 ) / 153272

= 782 / 392

= 782

Step2:

LCM(2, 925) = 1850

GCD(2, 925) = ( 2 x 925 ) / 1850

= 2 / 925

= 2

Step3:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1

So, Greatest Common Divisor of 782, 392, 925, 842 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 208, 803, 808
• GCD of 946, 687, 854, 135
• GCD of 690, 972, 488, 539
• GCD of 347, 594, 784, 149
• GCD of 257, 597, 808, 856

Given numbers are 782, 392, 925, 842
The greatest common divisor of numbers 782, 392, 925, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 392, 925, 842 is 1.

1. What is the GCD of 782, 392, 925, 842?

GCD of given numbers 782, 392, 925, 842 is 1

2. How to calculate the greatest common divisor of 782, 392, 925, 842?

We can find the highest common divisor of 782, 392, 925, 842 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 782, 392, 925, 842 i.e 1.

3. How can I use the GCD of 782, 392, 925, 842Calculator?

Out the numbers 782, 392, 925, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.