GCD of 112, 733, 196, 742 Calculator

Given Input numbers are 112, 733, 196, 742

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 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (112, 733, 196, 742) = 1.

Given numbers are 112, 733, 196, 742

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 733 are 733

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 112, 733, 196, 742

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

Apply this formula for all numbers.

Step1:

LCM(112, 733) = 82096

GCD(112, 733) = ( 112 x 733 ) / 82096

= 112 / 733

= 112

Step2:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 112, 733, 196, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 515, 935, 349
• GCD of 391, 332, 976, 682
• GCD of 791, 203, 424, 347
• GCD of 179, 620, 542, 521
• GCD of 770, 481, 216, 185

Given numbers are 112, 733, 196, 742
The greatest common divisor of numbers 112, 733, 196, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 733, 196, 742 is 1.

1. What is the GCD of 112, 733, 196, 742?

GCD of given numbers 112, 733, 196, 742 is 1

2. How to calculate the greatest common divisor of 112, 733, 196, 742?

We can find the highest common divisor of 112, 733, 196, 742 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, 733, 196, 742 i.e 1.

3. How can I use the GCD of 112, 733, 196, 742Calculator?

Out the numbers 112, 733, 196, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.