GCD of 407, 387, 112, 374 Calculator

Given Input numbers are 407, 387, 112, 374

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

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (407, 387, 112, 374) = 1.

Given numbers are 407, 387, 112, 374

The list of prime factors of all numbers are

Prime factors of 407 are 11 x 37

Prime factors of 387 are 3 x 3 x 43

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

Prime factors of 374 are 2 x 11 x 17

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

Given numbers are 407, 387, 112, 374

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

Apply this formula for all numbers.

Step1:

LCM(407, 387) = 157509

GCD(407, 387) = ( 407 x 387 ) / 157509

= 407 / 387

= 407

Step2:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

Step3:

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

= 1 / 374

= 1

So, Greatest Common Divisor of 407, 387, 112, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 897, 462, 892
• GCD of 326, 782, 867, 851
• GCD of 141, 745, 490, 282
• GCD of 763, 776, 602, 715
• GCD of 333, 514, 329, 376

Given numbers are 407, 387, 112, 374
The greatest common divisor of numbers 407, 387, 112, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 407, 387, 112, 374 is 1.

1. What is the GCD of 407, 387, 112, 374?

GCD of given numbers 407, 387, 112, 374 is 1

2. How to calculate the greatest common divisor of 407, 387, 112, 374?

We can find the highest common divisor of 407, 387, 112, 374 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 407, 387, 112, 374 i.e 1.

3. How can I use the GCD of 407, 387, 112, 374Calculator?

Out the numbers 407, 387, 112, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.