GCD of 490, 569, 730, 138 Calculator

Given Input numbers are 490, 569, 730, 138

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

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 569 :

The positive integer divisors of 569 that completely divides 569 are.

1, 569

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (490, 569, 730, 138) = 1.

Given numbers are 490, 569, 730, 138

The list of prime factors of all numbers are

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

Prime factors of 569 are 569

Prime factors of 730 are 2 x 5 x 73

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 490, 569, 730, 138

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

Apply this formula for all numbers.

Step1:

LCM(490, 569) = 278810

GCD(490, 569) = ( 490 x 569 ) / 278810

= 490 / 569

= 490

Step2:

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

= 1 / 730

= 1

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 490, 569, 730, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 668, 872, 361
• GCD of 586, 436, 906, 488
• GCD of 209, 528, 240, 970
• GCD of 425, 374, 107, 149
• GCD of 912, 822, 466, 579

Given numbers are 490, 569, 730, 138
The greatest common divisor of numbers 490, 569, 730, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 569, 730, 138 is 1.

1. What is the GCD of 490, 569, 730, 138?

GCD of given numbers 490, 569, 730, 138 is 1

2. How to calculate the greatest common divisor of 490, 569, 730, 138?

We can find the highest common divisor of 490, 569, 730, 138 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 490, 569, 730, 138 i.e 1.

3. How can I use the GCD of 490, 569, 730, 138Calculator?

Out the numbers 490, 569, 730, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.