GCD of 528, 344, 270, 976 Calculator

Given Input numbers are 528, 344, 270, 976

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (528, 344, 270, 976) = 2.

Given numbers are 528, 344, 270, 976

The list of prime factors of all numbers are

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 528, 344, 270, 976 is 2.

Given numbers are 528, 344, 270, 976

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

Apply this formula for all numbers.

Step1:

LCM(528, 344) = 22704

GCD(528, 344) = ( 528 x 344 ) / 22704

= 528 / 344

= 528

Step2:

LCM(8, 270) = 1080

GCD(8, 270) = ( 8 x 270 ) / 1080

= 8 / 270

= 8

Step3:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

So, Greatest Common Divisor of 528, 344, 270, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 721, 624, 232
• GCD of 752, 673, 680, 302
• GCD of 289, 611, 521, 887
• GCD of 334, 128, 117, 990
• GCD of 328, 788, 858, 461

Given numbers are 528, 344, 270, 976
The greatest common divisor of numbers 528, 344, 270, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 344, 270, 976 is 2.

1. What is the GCD of 528, 344, 270, 976?

GCD of given numbers 528, 344, 270, 976 is 2

2. How to calculate the greatest common divisor of 528, 344, 270, 976?

We can find the highest common divisor of 528, 344, 270, 976 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 528, 344, 270, 976 i.e 2.

3. How can I use the GCD of 528, 344, 270, 976Calculator?

Out the numbers 528, 344, 270, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.