GCD of 490, 194, 872, 420 Calculator

Given Input numbers are 490, 194, 872, 420

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 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

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

GCD of numbers is the greatest common divisor

So, the GCD (490, 194, 872, 420) = 2.

Given numbers are 490, 194, 872, 420

The list of prime factors of all numbers are

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

Prime factors of 194 are 2 x 97

Prime factors of 872 are 2 x 2 x 2 x 109

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

The highest common occurrence is 2¹

Therefore, GCD of 490, 194, 872, 420 is 2.

Given numbers are 490, 194, 872, 420

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

Apply this formula for all numbers.

Step1:

LCM(490, 194) = 47530

GCD(490, 194) = ( 490 x 194 ) / 47530

= 490 / 194

= 490

Step2:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 490, 194, 872, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 493, 198, 313
• GCD of 447, 919, 888, 685
• GCD of 759, 453, 490, 943
• GCD of 748, 693, 934, 174
• GCD of 889, 581, 141, 348

Given numbers are 490, 194, 872, 420
The greatest common divisor of numbers 490, 194, 872, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 194, 872, 420 is 2.

1. What is the GCD of 490, 194, 872, 420?

GCD of given numbers 490, 194, 872, 420 is 2

2. How to calculate the greatest common divisor of 490, 194, 872, 420?

We can find the highest common divisor of 490, 194, 872, 420 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, 194, 872, 420 i.e 2.

3. How can I use the GCD of 490, 194, 872, 420Calculator?

Out the numbers 490, 194, 872, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.