GCD of 242, 320, 152 Calculator

Given Input numbers are 242, 320, 152

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

GCD of numbers is the greatest common divisor

So, the GCD (242, 320, 152) = 2.

Given numbers are 242, 320, 152

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 152 are 2 x 2 x 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 242, 320, 152 is 2.

Given numbers are 242, 320, 152

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

Apply this formula for all numbers.

Step1:

LCM(242, 320) = 38720

GCD(242, 320) = ( 242 x 320 ) / 38720

= 242 / 320

= 242

Step2:

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

= 2 / 152

= 2

So, Greatest Common Divisor of 242, 320, 152 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 579, 523
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Given numbers are 242, 320, 152
The greatest common divisor of numbers 242, 320, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 320, 152 is 2.

1. What is the GCD of 242, 320, 152?

GCD of given numbers 242, 320, 152 is 2

2. How to calculate the greatest common divisor of 242, 320, 152?

We can find the highest common divisor of 242, 320, 152 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, 320, 152 i.e 2.

3. How can I use the GCD of 242, 320, 152Calculator?

Out the numbers 242, 320, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.