GCD of 428, 792, 276, 280 Calculator

Given Input numbers are 428, 792, 276, 280

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (428, 792, 276, 280) = 4.

Given numbers are 428, 792, 276, 280

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2²

Therefore, GCD of 428, 792, 276, 280 is 4.

Given numbers are 428, 792, 276, 280

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

Apply this formula for all numbers.

Step1:

LCM(428, 792) = 84744

GCD(428, 792) = ( 428 x 792 ) / 84744

= 428 / 792

= 428

Step2:

LCM(4, 276) = 276

GCD(4, 276) = ( 4 x 276 ) / 276

= 4 / 276

= 4

Step3:

LCM(4, 280) = 280

GCD(4, 280) = ( 4 x 280 ) / 280

= 4 / 280

= 4

So, Greatest Common Divisor of 428, 792, 276, 280 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 417, 878, 337
• GCD of 672, 199, 520, 728
• GCD of 168, 179, 931, 737
• GCD of 131, 442, 474, 737
• GCD of 111, 173, 862, 881

Given numbers are 428, 792, 276, 280
The greatest common divisor of numbers 428, 792, 276, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 792, 276, 280 is 4.

1. What is the GCD of 428, 792, 276, 280?

GCD of given numbers 428, 792, 276, 280 is 4

2. How to calculate the greatest common divisor of 428, 792, 276, 280?

We can find the highest common divisor of 428, 792, 276, 280 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 428, 792, 276, 280 i.e 4.

3. How can I use the GCD of 428, 792, 276, 280Calculator?

Out the numbers 428, 792, 276, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.