GCD of 278, 438, 448, 760 Calculator

Given Input numbers are 278, 438, 448, 760

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (278, 438, 448, 760) = 2.

Given numbers are 278, 438, 448, 760

The list of prime factors of all numbers are

Prime factors of 278 are 2 x 139

Prime factors of 438 are 2 x 3 x 73

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 278, 438, 448, 760 is 2.

Given numbers are 278, 438, 448, 760

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

Apply this formula for all numbers.

Step1:

LCM(278, 438) = 60882

GCD(278, 438) = ( 278 x 438 ) / 60882

= 278 / 438

= 278

Step2:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

Step3:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2

So, Greatest Common Divisor of 278, 438, 448, 760 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 285, 261, 154
• GCD of 267, 702, 901, 966
• GCD of 876, 798, 427, 652
• GCD of 806, 140, 488, 193
• GCD of 628, 442, 722, 360

Given numbers are 278, 438, 448, 760
The greatest common divisor of numbers 278, 438, 448, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 438, 448, 760 is 2.

1. What is the GCD of 278, 438, 448, 760?

GCD of given numbers 278, 438, 448, 760 is 2

2. How to calculate the greatest common divisor of 278, 438, 448, 760?

We can find the highest common divisor of 278, 438, 448, 760 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, 438, 448, 760 i.e 2.

3. How can I use the GCD of 278, 438, 448, 760Calculator?

Out the numbers 278, 438, 448, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.