GCD of 112, 331, 972, 740 Calculator

Given Input numbers are 112, 331, 972, 740

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 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (112, 331, 972, 740) = 1.

Given numbers are 112, 331, 972, 740

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 331 are 331

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 740 are 2 x 2 x 5 x 37

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

Given numbers are 112, 331, 972, 740

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

Apply this formula for all numbers.

Step1:

LCM(112, 331) = 37072

GCD(112, 331) = ( 112 x 331 ) / 37072

= 112 / 331

= 112

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

= 1 / 740

= 1

So, Greatest Common Divisor of 112, 331, 972, 740 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 976, 817, 765
• GCD of 962, 507, 671, 615
• GCD of 605, 392, 710, 359
• GCD of 728, 774, 662, 813
• GCD of 517, 979, 815, 374

Given numbers are 112, 331, 972, 740
The greatest common divisor of numbers 112, 331, 972, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 331, 972, 740 is 1.

1. What is the GCD of 112, 331, 972, 740?

GCD of given numbers 112, 331, 972, 740 is 1

2. How to calculate the greatest common divisor of 112, 331, 972, 740?

We can find the highest common divisor of 112, 331, 972, 740 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, 331, 972, 740 i.e 1.

3. How can I use the GCD of 112, 331, 972, 740Calculator?

Out the numbers 112, 331, 972, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.