GCD of 278, 252, 380, 468 Calculator

Given Input numbers are 278, 252, 380, 468

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (278, 252, 380, 468) = 2.

Given numbers are 278, 252, 380, 468

The list of prime factors of all numbers are

Prime factors of 278 are 2 x 139

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 278, 252, 380, 468 is 2.

Given numbers are 278, 252, 380, 468

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

Apply this formula for all numbers.

Step1:

LCM(278, 252) = 35028

GCD(278, 252) = ( 278 x 252 ) / 35028

= 278 / 252

= 278

Step2:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

Step3:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

So, Greatest Common Divisor of 278, 252, 380, 468 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 690, 318, 632
• GCD of 251, 484, 880, 230
• GCD of 181, 962, 204, 338
• GCD of 412, 684, 274, 674
• GCD of 679, 147, 223, 962

Given numbers are 278, 252, 380, 468
The greatest common divisor of numbers 278, 252, 380, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 252, 380, 468 is 2.

1. What is the GCD of 278, 252, 380, 468?

GCD of given numbers 278, 252, 380, 468 is 2

2. How to calculate the greatest common divisor of 278, 252, 380, 468?

We can find the highest common divisor of 278, 252, 380, 468 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, 252, 380, 468 i.e 2.

3. How can I use the GCD of 278, 252, 380, 468Calculator?

Out the numbers 278, 252, 380, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.