GCD of 108, 278, 370, 535 Calculator

Given Input numbers are 108, 278, 370, 535

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

GCD of numbers is the greatest common divisor

So, the GCD (108, 278, 370, 535) = 1.

Given numbers are 108, 278, 370, 535

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 278 are 2 x 139

Prime factors of 370 are 2 x 5 x 37

Prime factors of 535 are 5 x 107

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

Given numbers are 108, 278, 370, 535

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

Apply this formula for all numbers.

Step1:

LCM(108, 278) = 15012

GCD(108, 278) = ( 108 x 278 ) / 15012

= 108 / 278

= 108

Step2:

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

= 2 / 370

= 2

Step3:

LCM(2, 535) = 1070

GCD(2, 535) = ( 2 x 535 ) / 1070

= 2 / 535

= 2

So, Greatest Common Divisor of 108, 278, 370, 535 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 411, 307, 507
• GCD of 250, 792, 561, 412
• GCD of 496, 826, 406, 996
• GCD of 575, 737, 320, 182
• GCD of 843, 401, 195, 319

Given numbers are 108, 278, 370, 535
The greatest common divisor of numbers 108, 278, 370, 535 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 278, 370, 535 is 1.

1. What is the GCD of 108, 278, 370, 535?

GCD of given numbers 108, 278, 370, 535 is 1

2. How to calculate the greatest common divisor of 108, 278, 370, 535?

We can find the highest common divisor of 108, 278, 370, 535 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 108, 278, 370, 535 i.e 1.

3. How can I use the GCD of 108, 278, 370, 535Calculator?

Out the numbers 108, 278, 370, 535 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.