GCD of 242, 313, 180, 749 Calculator

Given Input numbers are 242, 313, 180, 749

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 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (242, 313, 180, 749) = 1.

Given numbers are 242, 313, 180, 749

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 313 are 313

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 749 are 7 x 107

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

Given numbers are 242, 313, 180, 749

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

Apply this formula for all numbers.

Step1:

LCM(242, 313) = 75746

GCD(242, 313) = ( 242 x 313 ) / 75746

= 242 / 313

= 242

Step2:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 242, 313, 180, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 701, 883, 595
• GCD of 412, 312, 831, 948
• GCD of 881, 128, 735, 717
• GCD of 803, 979, 357, 538
• GCD of 493, 133, 503, 634

Given numbers are 242, 313, 180, 749
The greatest common divisor of numbers 242, 313, 180, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 313, 180, 749 is 1.

1. What is the GCD of 242, 313, 180, 749?

GCD of given numbers 242, 313, 180, 749 is 1

2. How to calculate the greatest common divisor of 242, 313, 180, 749?

We can find the highest common divisor of 242, 313, 180, 749 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, 313, 180, 749 i.e 1.

3. How can I use the GCD of 242, 313, 180, 749Calculator?

Out the numbers 242, 313, 180, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.