GCD of 268, 356, 654, 804 Calculator

Given Input numbers are 268, 356, 654, 804

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

Divisors of 268 :

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

1, 2, 4, 67, 134, 268

Divisors of 356 :

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

1, 2, 4, 89, 178, 356

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD of numbers is the greatest common divisor

So, the GCD (268, 356, 654, 804) = 2.

Given numbers are 268, 356, 654, 804

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 356 are 2 x 2 x 89

Prime factors of 654 are 2 x 3 x 109

Prime factors of 804 are 2 x 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 268, 356, 654, 804 is 2.

Given numbers are 268, 356, 654, 804

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

Apply this formula for all numbers.

Step1:

LCM(268, 356) = 23852

GCD(268, 356) = ( 268 x 356 ) / 23852

= 268 / 356

= 268

Step2:

LCM(4, 654) = 1308

GCD(4, 654) = ( 4 x 654 ) / 1308

= 4 / 654

= 4

Step3:

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

= 2 / 804

= 2

So, Greatest Common Divisor of 268, 356, 654, 804 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 144, 206, 447
• GCD of 786, 854, 110, 648
• GCD of 213, 434, 835, 426
• GCD of 628, 702, 878, 661
• GCD of 790, 208, 103, 180

Given numbers are 268, 356, 654, 804
The greatest common divisor of numbers 268, 356, 654, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 356, 654, 804 is 2.

1. What is the GCD of 268, 356, 654, 804?

GCD of given numbers 268, 356, 654, 804 is 2

2. How to calculate the greatest common divisor of 268, 356, 654, 804?

We can find the highest common divisor of 268, 356, 654, 804 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 268, 356, 654, 804 i.e 2.

3. How can I use the GCD of 268, 356, 654, 804Calculator?

Out the numbers 268, 356, 654, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.