GCD of 742, 199, 456, 748 Calculator

Given Input numbers are 742, 199, 456, 748

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

Divisors of 742 :

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

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

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (742, 199, 456, 748) = 1.

Given numbers are 742, 199, 456, 748

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 199 are 199

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 742, 199, 456, 748

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

Apply this formula for all numbers.

Step1:

LCM(742, 199) = 147658

GCD(742, 199) = ( 742 x 199 ) / 147658

= 742 / 199

= 742

Step2:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 742, 199, 456, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 844, 357, 890
• GCD of 610, 921, 238, 541
• GCD of 132, 426, 144, 944
• GCD of 403, 883, 872, 505
• GCD of 160, 874, 812, 225

Given numbers are 742, 199, 456, 748
The greatest common divisor of numbers 742, 199, 456, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 199, 456, 748 is 1.

1. What is the GCD of 742, 199, 456, 748?

GCD of given numbers 742, 199, 456, 748 is 1

2. How to calculate the greatest common divisor of 742, 199, 456, 748?

We can find the highest common divisor of 742, 199, 456, 748 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 742, 199, 456, 748 i.e 1.

3. How can I use the GCD of 742, 199, 456, 748Calculator?

Out the numbers 742, 199, 456, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.