GCD of 945, 345, 568, 313 Calculator

Given Input numbers are 945, 345, 568, 313

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 313 :

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

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (945, 345, 568, 313) = 1.

Given numbers are 945, 345, 568, 313

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 345 are 3 x 5 x 23

Prime factors of 568 are 2 x 2 x 2 x 71

Prime factors of 313 are 313

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

Given numbers are 945, 345, 568, 313

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

Apply this formula for all numbers.

Step1:

LCM(945, 345) = 21735

GCD(945, 345) = ( 945 x 345 ) / 21735

= 945 / 345

= 945

Step2:

LCM(15, 568) = 8520

GCD(15, 568) = ( 15 x 568 ) / 8520

= 15 / 568

= 15

Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

So, Greatest Common Divisor of 945, 345, 568, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 699, 238, 863
• GCD of 325, 171, 979, 880
• GCD of 467, 763, 969, 466
• GCD of 774, 971, 644, 456
• GCD of 416, 304, 918, 149

Given numbers are 945, 345, 568, 313
The greatest common divisor of numbers 945, 345, 568, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 345, 568, 313 is 1.

1. What is the GCD of 945, 345, 568, 313?

GCD of given numbers 945, 345, 568, 313 is 1

2. How to calculate the greatest common divisor of 945, 345, 568, 313?

We can find the highest common divisor of 945, 345, 568, 313 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 945, 345, 568, 313 i.e 1.

3. How can I use the GCD of 945, 345, 568, 313Calculator?

Out the numbers 945, 345, 568, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.