GCD of 136, 498, 674, 268 Calculator

Given Input numbers are 136, 498, 674, 268

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 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (136, 498, 674, 268) = 2.

Given numbers are 136, 498, 674, 268

The list of prime factors of all numbers are

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

Prime factors of 498 are 2 x 3 x 83

Prime factors of 674 are 2 x 337

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 136, 498, 674, 268 is 2.

Given numbers are 136, 498, 674, 268

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

Apply this formula for all numbers.

Step1:

LCM(136, 498) = 33864

GCD(136, 498) = ( 136 x 498 ) / 33864

= 136 / 498

= 136

Step2:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

Step3:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

So, Greatest Common Divisor of 136, 498, 674, 268 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 849, 545, 295
• GCD of 943, 116, 395, 386
• GCD of 230, 297, 124, 951
• GCD of 381, 675, 415, 738
• GCD of 779, 965, 579, 121

Given numbers are 136, 498, 674, 268
The greatest common divisor of numbers 136, 498, 674, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 498, 674, 268 is 2.

1. What is the GCD of 136, 498, 674, 268?

GCD of given numbers 136, 498, 674, 268 is 2

2. How to calculate the greatest common divisor of 136, 498, 674, 268?

We can find the highest common divisor of 136, 498, 674, 268 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, 498, 674, 268 i.e 2.

3. How can I use the GCD of 136, 498, 674, 268Calculator?

Out the numbers 136, 498, 674, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.