GCD of 280, 378, 786, 442 Calculator

Given Input numbers are 280, 378, 786, 442

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

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (280, 378, 786, 442) = 2.

Given numbers are 280, 378, 786, 442

The list of prime factors of all numbers are

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 786 are 2 x 3 x 131

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 280, 378, 786, 442 is 2.

Given numbers are 280, 378, 786, 442

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

Apply this formula for all numbers.

Step1:

LCM(280, 378) = 7560

GCD(280, 378) = ( 280 x 378 ) / 7560

= 280 / 378

= 280

Step2:

LCM(14, 786) = 5502

GCD(14, 786) = ( 14 x 786 ) / 5502

= 14 / 786

= 14

Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

So, Greatest Common Divisor of 280, 378, 786, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 748, 403, 136
• GCD of 971, 290, 269, 129
• GCD of 805, 923, 417, 124
• GCD of 927, 983, 448, 379
• GCD of 275, 102, 664, 482

Given numbers are 280, 378, 786, 442
The greatest common divisor of numbers 280, 378, 786, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 378, 786, 442 is 2.

1. What is the GCD of 280, 378, 786, 442?

GCD of given numbers 280, 378, 786, 442 is 2

2. How to calculate the greatest common divisor of 280, 378, 786, 442?

We can find the highest common divisor of 280, 378, 786, 442 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 280, 378, 786, 442 i.e 2.

3. How can I use the GCD of 280, 378, 786, 442Calculator?

Out the numbers 280, 378, 786, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.