GCD of 564, 776, 774, 315 Calculator

Given Input numbers are 564, 776, 774, 315

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (564, 776, 774, 315) = 1.

Given numbers are 564, 776, 774, 315

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 564, 776, 774, 315

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

Apply this formula for all numbers.

Step1:

LCM(564, 776) = 109416

GCD(564, 776) = ( 564 x 776 ) / 109416

= 564 / 776

= 564

Step2:

LCM(4, 774) = 1548

GCD(4, 774) = ( 4 x 774 ) / 1548

= 4 / 774

= 4

Step3:

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

= 2 / 315

= 2

So, Greatest Common Divisor of 564, 776, 774, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 491, 594, 949
• GCD of 563, 798, 161, 877
• GCD of 567, 774, 111, 686
• GCD of 681, 474, 749, 223
• GCD of 840, 994, 709, 975

Given numbers are 564, 776, 774, 315
The greatest common divisor of numbers 564, 776, 774, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 776, 774, 315 is 1.

1. What is the GCD of 564, 776, 774, 315?

GCD of given numbers 564, 776, 774, 315 is 1

2. How to calculate the greatest common divisor of 564, 776, 774, 315?

We can find the highest common divisor of 564, 776, 774, 315 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 564, 776, 774, 315 i.e 1.

3. How can I use the GCD of 564, 776, 774, 315Calculator?

Out the numbers 564, 776, 774, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.