GCD of 974, 848, 328, 576 Calculator

Given Input numbers are 974, 848, 328, 576

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

GCD of numbers is the greatest common divisor

So, the GCD (974, 848, 328, 576) = 2.

Given numbers are 974, 848, 328, 576

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 974, 848, 328, 576 is 2.

Given numbers are 974, 848, 328, 576

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

Apply this formula for all numbers.

Step1:

LCM(974, 848) = 412976

GCD(974, 848) = ( 974 x 848 ) / 412976

= 974 / 848

= 974

Step2:

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

= 2 / 328

= 2

Step3:

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

= 2 / 576

= 2

So, Greatest Common Divisor of 974, 848, 328, 576 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 386, 676, 542
• GCD of 594, 866, 156, 142
• GCD of 910, 751, 655, 375
• GCD of 376, 553, 956, 740
• GCD of 576, 571, 193, 976

Given numbers are 974, 848, 328, 576
The greatest common divisor of numbers 974, 848, 328, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 848, 328, 576 is 2.

1. What is the GCD of 974, 848, 328, 576?

GCD of given numbers 974, 848, 328, 576 is 2

2. How to calculate the greatest common divisor of 974, 848, 328, 576?

We can find the highest common divisor of 974, 848, 328, 576 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 974, 848, 328, 576 i.e 2.

3. How can I use the GCD of 974, 848, 328, 576Calculator?

Out the numbers 974, 848, 328, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.