GCD of 361, 112, 290, 785 Calculator

Given Input numbers are 361, 112, 290, 785

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

GCD of numbers is the greatest common divisor

So, the GCD (361, 112, 290, 785) = 1.

Given numbers are 361, 112, 290, 785

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 290 are 2 x 5 x 29

Prime factors of 785 are 5 x 157

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

Given numbers are 361, 112, 290, 785

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

Apply this formula for all numbers.

Step1:

LCM(361, 112) = 40432

GCD(361, 112) = ( 361 x 112 ) / 40432

= 361 / 112

= 361

Step2:

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

= 1 / 290

= 1

Step3:

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

= 1 / 785

= 1

So, Greatest Common Divisor of 361, 112, 290, 785 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 775, 410, 956
• GCD of 506, 661, 696, 753
• GCD of 408, 338, 415, 910
• GCD of 282, 353, 414, 704
• GCD of 983, 697, 433, 765

Given numbers are 361, 112, 290, 785
The greatest common divisor of numbers 361, 112, 290, 785 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 112, 290, 785 is 1.

1. What is the GCD of 361, 112, 290, 785?

GCD of given numbers 361, 112, 290, 785 is 1

2. How to calculate the greatest common divisor of 361, 112, 290, 785?

We can find the highest common divisor of 361, 112, 290, 785 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 361, 112, 290, 785 i.e 1.

3. How can I use the GCD of 361, 112, 290, 785Calculator?

Out the numbers 361, 112, 290, 785 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.