GCD of 490, 224, 308, 356 Calculator

Given Input numbers are 490, 224, 308, 356

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 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (490, 224, 308, 356) = 2.

Given numbers are 490, 224, 308, 356

The list of prime factors of all numbers are

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

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 356 are 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 490, 224, 308, 356 is 2.

Given numbers are 490, 224, 308, 356

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

Apply this formula for all numbers.

Step1:

LCM(490, 224) = 7840

GCD(490, 224) = ( 490 x 224 ) / 7840

= 490 / 224

= 490

Step2:

LCM(14, 308) = 308

GCD(14, 308) = ( 14 x 308 ) / 308

= 14 / 308

= 14

Step3:

LCM(14, 356) = 2492

GCD(14, 356) = ( 14 x 356 ) / 2492

= 14 / 356

= 14

So, Greatest Common Divisor of 490, 224, 308, 356 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 479, 916, 766
• GCD of 173, 879, 396, 136
• GCD of 387, 912, 315, 580
• GCD of 536, 260, 582, 220
• GCD of 872, 901, 435, 747

Given numbers are 490, 224, 308, 356
The greatest common divisor of numbers 490, 224, 308, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 224, 308, 356 is 2.

1. What is the GCD of 490, 224, 308, 356?

GCD of given numbers 490, 224, 308, 356 is 2

2. How to calculate the greatest common divisor of 490, 224, 308, 356?

We can find the highest common divisor of 490, 224, 308, 356 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, 224, 308, 356 i.e 2.

3. How can I use the GCD of 490, 224, 308, 356Calculator?

Out the numbers 490, 224, 308, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.