GCD of 242, 378, 305, 160 Calculator

Given Input numbers are 242, 378, 305, 160

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

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (242, 378, 305, 160) = 1.

Given numbers are 242, 378, 305, 160

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 305 are 5 x 61

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 242, 378, 305, 160

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

Apply this formula for all numbers.

Step1:

LCM(242, 378) = 45738

GCD(242, 378) = ( 242 x 378 ) / 45738

= 242 / 378

= 242

Step2:

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

= 2 / 305

= 2

Step3:

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

= 1 / 160

= 1

So, Greatest Common Divisor of 242, 378, 305, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 119, 836, 814
• GCD of 716, 927, 172, 643
• GCD of 366, 599, 114, 624
• GCD of 307, 201, 247, 724
• GCD of 169, 462, 312, 708

Given numbers are 242, 378, 305, 160
The greatest common divisor of numbers 242, 378, 305, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 378, 305, 160 is 1.

1. What is the GCD of 242, 378, 305, 160?

GCD of given numbers 242, 378, 305, 160 is 1

2. How to calculate the greatest common divisor of 242, 378, 305, 160?

We can find the highest common divisor of 242, 378, 305, 160 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 242, 378, 305, 160 i.e 1.

3. How can I use the GCD of 242, 378, 305, 160Calculator?

Out the numbers 242, 378, 305, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.