GCD of 390, 528, 975, 210 Calculator

Given Input numbers are 390, 528, 975, 210

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

GCD of numbers is the greatest common divisor

So, the GCD (390, 528, 975, 210) = 3.

Given numbers are 390, 528, 975, 210

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

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

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 210 are 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 390, 528, 975, 210 is 3.

Given numbers are 390, 528, 975, 210

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

Apply this formula for all numbers.

Step1:

LCM(390, 528) = 34320

GCD(390, 528) = ( 390 x 528 ) / 34320

= 390 / 528

= 390

Step2:

LCM(6, 975) = 1950

GCD(6, 975) = ( 6 x 975 ) / 1950

= 6 / 975

= 6

Step3:

LCM(3, 210) = 210

GCD(3, 210) = ( 3 x 210 ) / 210

= 3 / 210

= 3

So, Greatest Common Divisor of 390, 528, 975, 210 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 212, 424, 777
• GCD of 678, 104, 167, 671
• GCD of 611, 132, 570, 980
• GCD of 850, 482, 696, 332
• GCD of 419, 171, 440, 802

Given numbers are 390, 528, 975, 210
The greatest common divisor of numbers 390, 528, 975, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 528, 975, 210 is 3.

1. What is the GCD of 390, 528, 975, 210?

GCD of given numbers 390, 528, 975, 210 is 3

2. How to calculate the greatest common divisor of 390, 528, 975, 210?

We can find the highest common divisor of 390, 528, 975, 210 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 390, 528, 975, 210 i.e 3.

3. How can I use the GCD of 390, 528, 975, 210Calculator?

Out the numbers 390, 528, 975, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.