GCD of 278, 264, 804, 942 Calculator

Given Input numbers are 278, 264, 804, 942

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

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (278, 264, 804, 942) = 2.

Given numbers are 278, 264, 804, 942

The list of prime factors of all numbers are

Prime factors of 278 are 2 x 139

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

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

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 2¹

Therefore, GCD of 278, 264, 804, 942 is 2.

Given numbers are 278, 264, 804, 942

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

Apply this formula for all numbers.

Step1:

LCM(278, 264) = 36696

GCD(278, 264) = ( 278 x 264 ) / 36696

= 278 / 264

= 278

Step2:

LCM(2, 804) = 804

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

= 2 / 804

= 2

Step3:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

So, Greatest Common Divisor of 278, 264, 804, 942 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 970, 723, 166
• GCD of 644, 971, 647, 575
• GCD of 474, 930, 786, 671
• GCD of 402, 687, 386, 908
• GCD of 451, 430, 155, 801

Given numbers are 278, 264, 804, 942
The greatest common divisor of numbers 278, 264, 804, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 264, 804, 942 is 2.

1. What is the GCD of 278, 264, 804, 942?

GCD of given numbers 278, 264, 804, 942 is 2

2. How to calculate the greatest common divisor of 278, 264, 804, 942?

We can find the highest common divisor of 278, 264, 804, 942 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 278, 264, 804, 942 i.e 2.

3. How can I use the GCD of 278, 264, 804, 942Calculator?

Out the numbers 278, 264, 804, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.