GCD of 742, 361, 185, 352 Calculator

Given Input numbers are 742, 361, 185, 352

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 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

GCD of numbers is the greatest common divisor

So, the GCD (742, 361, 185, 352) = 1.

Given numbers are 742, 361, 185, 352

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 361 are 19 x 19

Prime factors of 185 are 5 x 37

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

Given numbers are 742, 361, 185, 352

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

Apply this formula for all numbers.

Step1:

LCM(742, 361) = 267862

GCD(742, 361) = ( 742 x 361 ) / 267862

= 742 / 361

= 742

Step2:

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

= 1 / 185

= 1

Step3:

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

= 1 / 352

= 1

So, Greatest Common Divisor of 742, 361, 185, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 290, 788, 982
• GCD of 392, 675, 549, 182
• GCD of 577, 248, 955, 331
• GCD of 867, 761, 207, 988
• GCD of 865, 172, 536, 743

Given numbers are 742, 361, 185, 352
The greatest common divisor of numbers 742, 361, 185, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 361, 185, 352 is 1.

1. What is the GCD of 742, 361, 185, 352?

GCD of given numbers 742, 361, 185, 352 is 1

2. How to calculate the greatest common divisor of 742, 361, 185, 352?

We can find the highest common divisor of 742, 361, 185, 352 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, 361, 185, 352 i.e 1.

3. How can I use the GCD of 742, 361, 185, 352Calculator?

Out the numbers 742, 361, 185, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.