GCD of 785, 490, 585, 242 Calculator

Given Input numbers are 785, 490, 585, 242

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

Divisors of 785 :

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

1, 5, 157, 785

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 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (785, 490, 585, 242) = 1.

Given numbers are 785, 490, 585, 242

The list of prime factors of all numbers are

Prime factors of 785 are 5 x 157

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

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 242 are 2 x 11 x 11

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

Given numbers are 785, 490, 585, 242

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

Apply this formula for all numbers.

Step1:

LCM(785, 490) = 76930

GCD(785, 490) = ( 785 x 490 ) / 76930

= 785 / 490

= 785

Step2:

LCM(5, 585) = 585

GCD(5, 585) = ( 5 x 585 ) / 585

= 5 / 585

= 5

Step3:

LCM(5, 242) = 1210

GCD(5, 242) = ( 5 x 242 ) / 1210

= 5 / 242

= 5

So, Greatest Common Divisor of 785, 490, 585, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 303, 948, 287
• GCD of 229, 382, 264, 280
• GCD of 630, 107, 818, 471
• GCD of 389, 302, 957, 243
• GCD of 812, 464, 858, 213

Given numbers are 785, 490, 585, 242
The greatest common divisor of numbers 785, 490, 585, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 785, 490, 585, 242 is 1.

1. What is the GCD of 785, 490, 585, 242?

GCD of given numbers 785, 490, 585, 242 is 1

2. How to calculate the greatest common divisor of 785, 490, 585, 242?

We can find the highest common divisor of 785, 490, 585, 242 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 785, 490, 585, 242 i.e 1.

3. How can I use the GCD of 785, 490, 585, 242Calculator?

Out the numbers 785, 490, 585, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.