GCD of 136, 994, 408, 490 Calculator

Given Input numbers are 136, 994, 408, 490

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

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 (136, 994, 408, 490) = 2.

Given numbers are 136, 994, 408, 490

The list of prime factors of all numbers are

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 994 are 2 x 7 x 71

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 136, 994, 408, 490 is 2.

Given numbers are 136, 994, 408, 490

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

Apply this formula for all numbers.

Step1:

LCM(136, 994) = 67592

GCD(136, 994) = ( 136 x 994 ) / 67592

= 136 / 994

= 136

Step2:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

Step3:

LCM(2, 490) = 490

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

= 2 / 490

= 2

So, Greatest Common Divisor of 136, 994, 408, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 434, 504, 729
• GCD of 866, 370, 171, 586
• GCD of 455, 654, 208, 993
• GCD of 231, 994, 357, 400
• GCD of 193, 329, 575, 152

Given numbers are 136, 994, 408, 490
The greatest common divisor of numbers 136, 994, 408, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 994, 408, 490 is 2.

1. What is the GCD of 136, 994, 408, 490?

GCD of given numbers 136, 994, 408, 490 is 2

2. How to calculate the greatest common divisor of 136, 994, 408, 490?

We can find the highest common divisor of 136, 994, 408, 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 136, 994, 408, 490 i.e 2.

3. How can I use the GCD of 136, 994, 408, 490Calculator?

Out the numbers 136, 994, 408, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.