GCD of 490, 320, 906, 980 Calculator

Given Input numbers are 490, 320, 906, 980

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (490, 320, 906, 980) = 2.

Given numbers are 490, 320, 906, 980

The list of prime factors of all numbers are

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

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 906 are 2 x 3 x 151

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 490, 320, 906, 980 is 2.

Given numbers are 490, 320, 906, 980

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

Apply this formula for all numbers.

Step1:

LCM(490, 320) = 15680

GCD(490, 320) = ( 490 x 320 ) / 15680

= 490 / 320

= 490

Step2:

LCM(10, 906) = 4530

GCD(10, 906) = ( 10 x 906 ) / 4530

= 10 / 906

= 10

Step3:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

So, Greatest Common Divisor of 490, 320, 906, 980 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 323, 526, 977
• GCD of 318, 911, 198, 970
• GCD of 930, 612, 771, 189
• GCD of 826, 606, 186, 840
• GCD of 481, 428, 499, 349

Given numbers are 490, 320, 906, 980
The greatest common divisor of numbers 490, 320, 906, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 320, 906, 980 is 2.

1. What is the GCD of 490, 320, 906, 980?

GCD of given numbers 490, 320, 906, 980 is 2

2. How to calculate the greatest common divisor of 490, 320, 906, 980?

We can find the highest common divisor of 490, 320, 906, 980 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, 320, 906, 980 i.e 2.

3. How can I use the GCD of 490, 320, 906, 980Calculator?

Out the numbers 490, 320, 906, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.