GCD of 392, 814, 731, 932 Calculator

Given Input numbers are 392, 814, 731, 932

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

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 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

GCD of numbers is the greatest common divisor

So, the GCD (392, 814, 731, 932) = 1.

Given numbers are 392, 814, 731, 932

The list of prime factors of all numbers are

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

Prime factors of 814 are 2 x 11 x 37

Prime factors of 731 are 17 x 43

Prime factors of 932 are 2 x 2 x 233

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

Given numbers are 392, 814, 731, 932

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

Apply this formula for all numbers.

Step1:

LCM(392, 814) = 159544

GCD(392, 814) = ( 392 x 814 ) / 159544

= 392 / 814

= 392

Step2:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2

Step3:

LCM(1, 932) = 932

GCD(1, 932) = ( 1 x 932 ) / 932

= 1 / 932

= 1

So, Greatest Common Divisor of 392, 814, 731, 932 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 552, 643, 751
• GCD of 300, 284, 756, 249
• GCD of 360, 979, 633, 370
• GCD of 688, 128, 376, 933
• GCD of 580, 421, 823, 136

Given numbers are 392, 814, 731, 932
The greatest common divisor of numbers 392, 814, 731, 932 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 814, 731, 932 is 1.

1. What is the GCD of 392, 814, 731, 932?

GCD of given numbers 392, 814, 731, 932 is 1

2. How to calculate the greatest common divisor of 392, 814, 731, 932?

We can find the highest common divisor of 392, 814, 731, 932 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 392, 814, 731, 932 i.e 1.

3. How can I use the GCD of 392, 814, 731, 932Calculator?

Out the numbers 392, 814, 731, 932 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.