GCD of 974, 480, 396, 210 Calculator

Given Input numbers are 974, 480, 396, 210

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 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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 (974, 480, 396, 210) = 2.

Given numbers are 974, 480, 396, 210

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 974, 480, 396, 210 is 2.

Given numbers are 974, 480, 396, 210

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

Apply this formula for all numbers.

Step1:

LCM(974, 480) = 233760

GCD(974, 480) = ( 974 x 480 ) / 233760

= 974 / 480

= 974

Step2:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

Step3:

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

= 2 / 210

= 2

So, Greatest Common Divisor of 974, 480, 396, 210 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 139, 292, 435
• GCD of 161, 491, 913, 281
• GCD of 608, 736, 833, 367
• GCD of 475, 498, 446, 428
• GCD of 446, 759, 464, 196

Given numbers are 974, 480, 396, 210
The greatest common divisor of numbers 974, 480, 396, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 480, 396, 210 is 2.

1. What is the GCD of 974, 480, 396, 210?

GCD of given numbers 974, 480, 396, 210 is 2

2. How to calculate the greatest common divisor of 974, 480, 396, 210?

We can find the highest common divisor of 974, 480, 396, 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 974, 480, 396, 210 i.e 2.

3. How can I use the GCD of 974, 480, 396, 210Calculator?

Out the numbers 974, 480, 396, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.