GCD of 298, 676, 136, 408 Calculator

Given Input numbers are 298, 676, 136, 408

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 136 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (298, 676, 136, 408) = 2.

Given numbers are 298, 676, 136, 408

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 676 are 2 x 2 x 13 x 13

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

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

The highest common occurrence is 2¹

Therefore, GCD of 298, 676, 136, 408 is 2.

Given numbers are 298, 676, 136, 408

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

Apply this formula for all numbers.

Step1:

LCM(298, 676) = 100724

GCD(298, 676) = ( 298 x 676 ) / 100724

= 298 / 676

= 298

Step2:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2

Step3:

LCM(2, 408) = 408

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

= 2 / 408

= 2

So, Greatest Common Divisor of 298, 676, 136, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 884, 154, 653
• GCD of 407, 552, 194, 256
• GCD of 832, 440, 466, 536
• GCD of 852, 823, 694, 904
• GCD of 625, 246, 494, 134

Given numbers are 298, 676, 136, 408
The greatest common divisor of numbers 298, 676, 136, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 676, 136, 408 is 2.

1. What is the GCD of 298, 676, 136, 408?

GCD of given numbers 298, 676, 136, 408 is 2

2. How to calculate the greatest common divisor of 298, 676, 136, 408?

We can find the highest common divisor of 298, 676, 136, 408 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 298, 676, 136, 408 i.e 2.

3. How can I use the GCD of 298, 676, 136, 408Calculator?

Out the numbers 298, 676, 136, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.