GCD of 109, 490, 420, 556 Calculator

Given Input numbers are 109, 490, 420, 556

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

GCD of numbers is the greatest common divisor

So, the GCD (109, 490, 420, 556) = 1.

Given numbers are 109, 490, 420, 556

The list of prime factors of all numbers are

Prime factors of 109 are 109

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 556 are 2 x 2 x 139

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

Given numbers are 109, 490, 420, 556

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

Apply this formula for all numbers.

Step1:

LCM(109, 490) = 53410

GCD(109, 490) = ( 109 x 490 ) / 53410

= 109 / 490

= 109

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

= 1 / 556

= 1

So, Greatest Common Divisor of 109, 490, 420, 556 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 188, 816, 337
• GCD of 110, 236, 209, 900
• GCD of 487, 459, 369, 911
• GCD of 660, 687, 342, 557
• GCD of 965, 334, 816, 642

Given numbers are 109, 490, 420, 556
The greatest common divisor of numbers 109, 490, 420, 556 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 490, 420, 556 is 1.

1. What is the GCD of 109, 490, 420, 556?

GCD of given numbers 109, 490, 420, 556 is 1

2. How to calculate the greatest common divisor of 109, 490, 420, 556?

We can find the highest common divisor of 109, 490, 420, 556 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 109, 490, 420, 556 i.e 1.

3. How can I use the GCD of 109, 490, 420, 556Calculator?

Out the numbers 109, 490, 420, 556 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.