GCD of 352, 358, 508, 490 Calculator

Given Input numbers are 352, 358, 508, 490

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

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

GCD of numbers is the greatest common divisor

So, the GCD (352, 358, 508, 490) = 2.

Given numbers are 352, 358, 508, 490

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 358 are 2 x 179

Prime factors of 508 are 2 x 2 x 127

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

The highest common occurrence is 2¹

Therefore, GCD of 352, 358, 508, 490 is 2.

Given numbers are 352, 358, 508, 490

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

Apply this formula for all numbers.

Step1:

LCM(352, 358) = 63008

GCD(352, 358) = ( 352 x 358 ) / 63008

= 352 / 358

= 352

Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

Step3:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

So, Greatest Common Divisor of 352, 358, 508, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 452, 824, 465
• GCD of 302, 148, 990, 804
• GCD of 817, 428, 430, 184
• GCD of 588, 348, 362, 730
• GCD of 786, 121, 199, 934

Given numbers are 352, 358, 508, 490
The greatest common divisor of numbers 352, 358, 508, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 358, 508, 490 is 2.

1. What is the GCD of 352, 358, 508, 490?

GCD of given numbers 352, 358, 508, 490 is 2

2. How to calculate the greatest common divisor of 352, 358, 508, 490?

We can find the highest common divisor of 352, 358, 508, 490 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 352, 358, 508, 490 i.e 2.

3. How can I use the GCD of 352, 358, 508, 490Calculator?

Out the numbers 352, 358, 508, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.