GCD of 490, 132, 354, 484 Calculator

Given Input numbers are 490, 132, 354, 484

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

GCD of numbers is the greatest common divisor

So, the GCD (490, 132, 354, 484) = 2.

Given numbers are 490, 132, 354, 484

The list of prime factors of all numbers are

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

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 354 are 2 x 3 x 59

Prime factors of 484 are 2 x 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 490, 132, 354, 484 is 2.

Given numbers are 490, 132, 354, 484

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

Apply this formula for all numbers.

Step1:

LCM(490, 132) = 32340

GCD(490, 132) = ( 490 x 132 ) / 32340

= 490 / 132

= 490

Step2:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

Step3:

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

= 2 / 484

= 2

So, Greatest Common Divisor of 490, 132, 354, 484 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 445, 590, 921
• GCD of 908, 130, 313, 319
• GCD of 958, 827, 744, 268
• GCD of 970, 351, 913, 825
• GCD of 660, 630, 711, 546

Given numbers are 490, 132, 354, 484
The greatest common divisor of numbers 490, 132, 354, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 132, 354, 484 is 2.

1. What is the GCD of 490, 132, 354, 484?

GCD of given numbers 490, 132, 354, 484 is 2

2. How to calculate the greatest common divisor of 490, 132, 354, 484?

We can find the highest common divisor of 490, 132, 354, 484 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, 132, 354, 484 i.e 2.

3. How can I use the GCD of 490, 132, 354, 484Calculator?

Out the numbers 490, 132, 354, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.