GCD of 112, 371, 524, 280 Calculator

Given Input numbers are 112, 371, 524, 280

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (112, 371, 524, 280) = 1.

Given numbers are 112, 371, 524, 280

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 371 are 7 x 53

Prime factors of 524 are 2 x 2 x 131

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

Given numbers are 112, 371, 524, 280

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

Apply this formula for all numbers.

Step1:

LCM(112, 371) = 5936

GCD(112, 371) = ( 112 x 371 ) / 5936

= 112 / 371

= 112

Step2:

LCM(7, 524) = 3668

GCD(7, 524) = ( 7 x 524 ) / 3668

= 7 / 524

= 7

Step3:

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

= 1 / 280

= 1

So, Greatest Common Divisor of 112, 371, 524, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 136, 498, 761
• GCD of 103, 184, 967, 236
• GCD of 671, 389, 451, 846
• GCD of 680, 884, 655, 358
• GCD of 301, 490, 239, 580

Given numbers are 112, 371, 524, 280
The greatest common divisor of numbers 112, 371, 524, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 371, 524, 280 is 1.

1. What is the GCD of 112, 371, 524, 280?

GCD of given numbers 112, 371, 524, 280 is 1

2. How to calculate the greatest common divisor of 112, 371, 524, 280?

We can find the highest common divisor of 112, 371, 524, 280 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 112, 371, 524, 280 i.e 1.

3. How can I use the GCD of 112, 371, 524, 280Calculator?

Out the numbers 112, 371, 524, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.