GCD of 278, 378, 72, 253 Calculator

Given Input numbers are 278, 378, 72, 253

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 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 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (278, 378, 72, 253) = 1.

Given numbers are 278, 378, 72, 253

The list of prime factors of all numbers are

Prime factors of 278 are 2 x 139

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

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 253 are 11 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 278, 378, 72, 253

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

Apply this formula for all numbers.

Step1:

LCM(278, 378) = 52542

GCD(278, 378) = ( 278 x 378 ) / 52542

= 278 / 378

= 278

Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

Step3:

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

= 2 / 253

= 2

So, Greatest Common Divisor of 278, 378, 72, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 946, 83, 759
• GCD of 776, 626, 40, 275
• GCD of 519, 508, 26, 291
• GCD of 480, 704, 84, 691
• GCD of 553, 529, 21, 189

Given numbers are 278, 378, 72, 253
The greatest common divisor of numbers 278, 378, 72, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 378, 72, 253 is 1.

1. What is the GCD of 278, 378, 72, 253?

GCD of given numbers 278, 378, 72, 253 is 1

2. How to calculate the greatest common divisor of 278, 378, 72, 253?

We can find the highest common divisor of 278, 378, 72, 253 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, 378, 72, 253 i.e 1.

3. How can I use the GCD of 278, 378, 72, 253Calculator?

Out the numbers 278, 378, 72, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.