GCD of 637, 298, 109, 288 Calculator

Given Input numbers are 637, 298, 109, 288

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

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (637, 298, 109, 288) = 1.

Given numbers are 637, 298, 109, 288

The list of prime factors of all numbers are

Prime factors of 637 are 7 x 7 x 13

Prime factors of 298 are 2 x 149

Prime factors of 109 are 109

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 637, 298, 109, 288

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

Apply this formula for all numbers.

Step1:

LCM(637, 298) = 189826

GCD(637, 298) = ( 637 x 298 ) / 189826

= 637 / 298

= 637

Step2:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 637, 298, 109, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 707, 441, 623
• GCD of 516, 355, 347, 204
• GCD of 271, 303, 560, 484
• GCD of 418, 835, 556, 855
• GCD of 682, 190, 408, 472

Given numbers are 637, 298, 109, 288
The greatest common divisor of numbers 637, 298, 109, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 637, 298, 109, 288 is 1.

1. What is the GCD of 637, 298, 109, 288?

GCD of given numbers 637, 298, 109, 288 is 1

2. How to calculate the greatest common divisor of 637, 298, 109, 288?

We can find the highest common divisor of 637, 298, 109, 288 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 637, 298, 109, 288 i.e 1.

3. How can I use the GCD of 637, 298, 109, 288Calculator?

Out the numbers 637, 298, 109, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.