GCD of 954, 308, 724, 564 Calculator

Given Input numbers are 954, 308, 724, 564

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

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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

GCD of numbers is the greatest common divisor

So, the GCD (954, 308, 724, 564) = 2.

Given numbers are 954, 308, 724, 564

The list of prime factors of all numbers are

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 724 are 2 x 2 x 181

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

The highest common occurrence is 2¹

Therefore, GCD of 954, 308, 724, 564 is 2.

Given numbers are 954, 308, 724, 564

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

Apply this formula for all numbers.

Step1:

LCM(954, 308) = 146916

GCD(954, 308) = ( 954 x 308 ) / 146916

= 954 / 308

= 954

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 954, 308, 724, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 830, 905, 539
• GCD of 497, 913, 373, 467
• GCD of 440, 652, 625, 377
• GCD of 625, 512, 505, 623
• GCD of 588, 333, 629, 318

Given numbers are 954, 308, 724, 564
The greatest common divisor of numbers 954, 308, 724, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 308, 724, 564 is 2.

1. What is the GCD of 954, 308, 724, 564?

GCD of given numbers 954, 308, 724, 564 is 2

2. How to calculate the greatest common divisor of 954, 308, 724, 564?

We can find the highest common divisor of 954, 308, 724, 564 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 954, 308, 724, 564 i.e 2.

3. How can I use the GCD of 954, 308, 724, 564Calculator?

Out the numbers 954, 308, 724, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.